Quick Answer
SAT circles practice questions test radius, diameter, circumference, area, arcs, sectors, central and inscribed angles, circle equations, tangents, chords, and coordinate geometry. This guide includes 70 SAT-style questions that progress from basic formulas to arc length, sector area, equations of circles, tangent relationships, chord geometry, and harder mixed models.
What Should You Know Before Practicing Circles?
- Diameter equals twice the radius.
- Circumference is 2πr or πd.
- Area is πr².
- Arc length and sector area use central angle/360°.
- A central angle equals its intercepted arc measure.
- An inscribed angle is half its intercepted arc.
- The standard equation is (x-h)²+(y-k)²=r².
- A radius to a tangent point is perpendicular to the tangent.
In This Guide – 70 SAT Circles Practice Questions
Start With SAT Math Topic-Wise Practice
Connect circle practice with weekly score planning, mock-test review, and targeted SAT Math correction.
Download the SAT Prep Guide E-Book
Use the SAT Prep Guide E-Book to organize circle geometry, coordinate geometry, and SAT Math practice with a clear weekly score improvement plan.
Download SAT Prep E-Book GuideWhat Does the SAT Test in Circle Questions?
Students may need to calculate circumference or area, use central-angle fractions, interpret equations of circles, apply tangent and chord properties, or solve a coordinate geometry model.
| Skill Area | What It Tests | Questions |
|---|---|---|
| Circle basics | Radius, diameter, circumference, area, and scaling | Q1-Q15 |
| Arcs and sectors | Arc measure, arc length, sector area, and central angles | Q16-Q30 |
| Coordinate circles | Center, radius, standard form, translations, and completing the square | Q31-Q45 |
| Advanced circle geometry | Tangents, chords, inscribed angles, and mixed applications | Q46-Q70 |
How Are Circle Basics Tested?
These questions focus on radius, diameter, circumference, area, semicircles, quarter-circles, and scaling.
CIRCLE BASICSEASYQuestion 1
A circle has radius 6. What is its diameter?
Which choice is correct?
A) 3
B) 6
C) 12
D) 36
Show full solution
Correct answer: C) 12
The diameter is twice the radius: d=2r=12.
SAT trap: Do not confuse radius with diameter.
CIRCLE BASICSEASYQuestion 2
A circle has diameter 18. What is its radius?
Which choice is correct?
A) 6
B) 9
C) 18
D) 36
Show full solution
Correct answer: B) 9
The radius is half the diameter: 18/2=9.
SAT trap: Divide the diameter by 2.
CIRCLE BASICSEASYQuestion 3
What is the circumference of a circle with radius 5?
Which choice is correct?
A) 5π
B) 10π
C) 25π
D) 50π
Show full solution
Correct answer: B) 10π
C=2πr=10π.
SAT trap: Use 2πr, not πr².
CIRCLE BASICSEASYQuestion 4
What is the area of a circle with radius 4?
Which choice is correct?
A) 8π
B) 12π
C) 16π
D) 32π
Show full solution
Correct answer: C) 16π
A=πr²=16π.
SAT trap: Square the radius.
CIRCLE BASICSEASYQuestion 5
A circle has circumference 14π. What is its radius?
Which choice is correct?
A) 5
B) 7
C) 14
D) 28
Show full solution
Correct answer: B) 7
2πr=14π, so r=7.
SAT trap: Cancel π before solving.
CIRCLE BASICSEASYQuestion 6
A circle has area 49π. What is its radius?
Which choice is correct?
A) 7
B) 14
C) 24.5
D) 49
Show full solution
Correct answer: A) 7
πr²=49π, so r=7.
SAT trap: Take the positive square root.
CIRCLE BASICSEASYQuestion 7
A circle has radius 8. What is its circumference?
Which choice is correct?
A) 8π
B) 16π
C) 32π
D) 64π
Show full solution
Correct answer: B) 16π
C=2π(8)=16π.
SAT trap: Circumference is linear in radius.
CIRCLE BASICSEASYQuestion 8
A circle has diameter 20. What is its area?
Which choice is correct?
A) 20π
B) 50π
C) 100π
D) 400π
Show full solution
Correct answer: C) 100π
The radius is 10, so A=100π.
SAT trap: Convert diameter to radius first.
CIRCLE BASICSEASYQuestion 9
The circumference of a circle is 24π. What is its diameter?
Which choice is correct?
A) 12
B) 24
C) 48
D) 576
Show full solution
Correct answer: B) 24
C=πd, so d=24.
SAT trap: Use C=πd.
CIRCLE BASICSMEDIUMQuestion 10
The area of a circle is 81π. What is its diameter?
Which choice is correct?
A) 9
B) 18
C) 40.5
D) 81
Show full solution
Correct answer: B) 18
r=9, so d=18.
SAT trap: Find radius, then double it.
CIRCLE BASICSMEDIUMQuestion 11
A semicircle has radius 6. What is its area?
Which choice is correct?
A) 6π
B) 12π
C) 18π
D) 36π
Show full solution
Correct answer: C) 18π
Half of π(6²) is 18π.
SAT trap: Halve the area, not the radius.
CIRCLE BASICSMEDIUMQuestion 12
A quarter-circle has radius 8. What is its area?
Which choice is correct?
A) 8π
B) 16π
C) 32π
D) 64π
Show full solution
Correct answer: B) 16π
One-fourth of π(8²) is 16π.
SAT trap: Use one-fourth of the full area.
CIRCLE BASICSMEDIUMQuestion 13
A circular garden has radius 7 meters. What is its exact area?
Which choice is correct?
A) 14π m²
B) 28π m²
C) 49π m²
D) 98π m²
Show full solution
Correct answer: C) 49π m²
A=π(7²)=49π square meters.
SAT trap: Area units are squared.
CIRCLE BASICSMEDIUMQuestion 14
A wheel has diameter 30 inches. How far does it travel in one full rotation?
Which choice is correct?
A) 15π inches
B) 30π inches
C) 60π inches
D) 900π inches
Show full solution
Correct answer: B) 30π inches
One rotation covers one circumference: πd=30π.
SAT trap: Distance per rotation equals circumference.
CIRCLE BASICSMEDIUMQuestion 15
A circle’s radius is doubled. By what factor does its area change?
Which choice is correct?
A) 2
B) 3
C) 4
D) 8
Show full solution
Correct answer: C) 4
Area scales by the square of the radius factor: 2²=4.
SAT trap: Area does not scale linearly.
Build Stronger SAT Geometry Skills
Connect circle formulas with ratios, equations, and real SAT Math timing.
How Are Arcs, Central Angles, and Sectors Tested?
These questions use fractions of a circle to calculate arc length, sector area, and central-angle measures.
ARCS AND SECTORSMEDIUMQuestion 16
A central angle measures 90°. What fraction of the circle does its arc represent?
Which choice is correct?
A) 1/2
B) 1/3
C) 1/4
D) 1/6
Show full solution
Correct answer: C) 1/4
90/360=1/4.
SAT trap: Compare with 360°.
ARCS AND SECTORSMEDIUMQuestion 17
A central angle measures 120°. What fraction of the circle is the sector?
Which choice is correct?
A) 1/2
B) 1/3
C) 1/4
D) 2/3
Show full solution
Correct answer: B) 1/3
120/360=1/3.
SAT trap: Reduce the angle ratio.
ARCS AND SECTORSMEDIUMQuestion 18
A circle has radius 9. What is the length of a 60° arc?
Which choice is correct?
A) 3π
B) 6π
C) 9π
D) 18π
Show full solution
Correct answer: A) 3π
(60/360)(2π)(9)=3π.
SAT trap: Arc length is a fraction of circumference.
ARCS AND SECTORSMEDIUMQuestion 19
A circle has radius 12. What is the length of a 90° arc?
Which choice is correct?
A) 3π
B) 6π
C) 12π
D) 24π
Show full solution
Correct answer: B) 6π
One-fourth of 24π is 6π.
SAT trap: Use the correct fraction.
ARCS AND SECTORSMEDIUMQuestion 20
A circle has radius 10. What is the area of a 72° sector?
Which choice is correct?
A) 10π
B) 20π
C) 25π
D) 40π
Show full solution
Correct answer: B) 20π
(72/360)(100π)=20π.
SAT trap: Sector area is a fraction of total area.
ARCS AND SECTORSMEDIUMQuestion 21
A circle has radius 6. What is the area of a 120° sector?
Which choice is correct?
A) 6π
B) 12π
C) 18π
D) 36π
Show full solution
Correct answer: B) 12π
(120/360)(36π)=12π.
SAT trap: Use central angle/360.
ARCS AND SECTORSMEDIUMQuestion 22
An arc measures 150°. What is its central angle?
Which choice is correct?
A) 75°
B) 150°
C) 210°
D) 300°
Show full solution
Correct answer: B) 150°
A central angle equals its intercepted arc measure.
SAT trap: Do not halve a central angle.
ARCS AND SECTORSMEDIUMQuestion 23
A central angle is 45°. What is the minor arc measure?
Which choice is correct?
A) 22.5°
B) 45°
C) 90°
D) 315°
Show full solution
Correct answer: B) 45°
The central angle and minor arc have equal degree measures.
SAT trap: Central angles equal their arcs.
ARCS AND SECTORSMEDIUMQuestion 24
A minor arc measures 80°. What is the major arc measure?
Which choice is correct?
A) 80°
B) 180°
C) 280°
D) 360°
Show full solution
Correct answer: C) 280°
360-80=280°.
SAT trap: Minor and major arcs total 360°.
ARCS AND SECTORSMEDIUMQuestion 25
A sector has area 15π in a circle with total area 60π. What is the central angle?
Which choice is correct?
A) 45°
B) 90°
C) 120°
D) 180°
Show full solution
Correct answer: B) 90°
15/60=1/4, so the angle is 90°.
SAT trap: Match area fraction to angle fraction.
ARCS AND SECTORSHARDQuestion 26
An arc has length 8π in a circle with circumference 32π. What is its central angle?
Which choice is correct?
A) 45°
B) 90°
C) 120°
D) 180°
Show full solution
Correct answer: B) 90°
8/32=1/4, so angle=90°.
SAT trap: Use arc length divided by circumference.
ARCS AND SECTORSHARDQuestion 27
A circle has radius 14. What is the length of a 180° arc?
Which choice is correct?
A) 7π
B) 14π
C) 28π
D) 196π
Show full solution
Correct answer: B) 14π
A semicircular arc is half of 28π.
SAT trap: Use half the circumference.
ARCS AND SECTORSHARDQuestion 28
A sector has angle 135° in a circle of radius 8. What is its area?
Which choice is correct?
A) 12π
B) 18π
C) 24π
D) 32π
Show full solution
Correct answer: C) 24π
(135/360)(64π)=24π.
SAT trap: Reduce 135/360 to 3/8.
ARCS AND SECTORSHARDQuestion 29
A circle has circumference 18π. What is the length of a 40° arc?
Which choice is correct?
A) π
B) 2π
C) 4π
D) 8π
Show full solution
Correct answer: B) 2π
(40/360)(18π)=2π.
SAT trap: Use the angle fraction.
ARCS AND SECTORSHARDQuestion 30
A sector has area 30π and angle 120°. What is the total circle area?
Which choice is correct?
A) 60π
B) 90π
C) 120π
D) 180π
Show full solution
Correct answer: B) 90π
A 120° sector is one-third of the circle.
SAT trap: Divide by the sector fraction.
How Are Equations of Circles Tested?
These questions identify centers and radii, write standard-form equations, apply translations, and complete the square.
EQUATIONS OF CIRCLESMEDIUMQuestion 31
What is the center of (x-3)²+(y+2)²=25?
Which choice is correct?
A) (-3,2)
B) (3,-2)
C) (3,2)
D) (-3,-2)
Show full solution
Correct answer: B) (3,-2)
The center is (3,-2).
SAT trap: Signs inside parentheses are opposite.
EQUATIONS OF CIRCLESMEDIUMQuestion 32
What is the radius of (x-3)²+(y+2)²=25?
Which choice is correct?
A) 5
B) 10
C) 25
D) 50
Show full solution
Correct answer: A) 5
r²=25, so r=5.
SAT trap: The right side is r².
EQUATIONS OF CIRCLESMEDIUMQuestion 33
What is the center of x²+y²=49?
Which choice is correct?
A) (0,0)
B) (7,0)
C) (0,7)
D) (7,7)
Show full solution
Correct answer: A) (0,0)
The circle is centered at the origin.
SAT trap: No shifts means center (0,0).
EQUATIONS OF CIRCLESMEDIUMQuestion 34
What is the radius of x²+y²=49?
Which choice is correct?
A) 5
B) 7
C) 14
D) 49
Show full solution
Correct answer: B) 7
r=√49=7.
SAT trap: Take the square root.
EQUATIONS OF CIRCLESMEDIUMQuestion 35
Which equation is centered at (4,-1) with radius 6?
Which choice is correct?
A) (x+4)²+(y-1)²=36
B) (x-4)²+(y+1)²=36
C) (x-4)²+(y+1)²=6
D) (x+4)²+(y-1)²=6
Show full solution
Correct answer: B) (x-4)²+(y+1)²=36
Use (x-h)²+(y-k)²=r².
SAT trap: Square the radius.
EQUATIONS OF CIRCLESMEDIUMQuestion 36
Which equation is centered at (-2,5) with radius 3?
Which choice is correct?
A) (x-2)²+(y+5)²=9
B) (x+2)²+(y-5)²=9
C) (x+2)²+(y-5)²=3
D) (x-2)²+(y+5)²=3
Show full solution
Correct answer: B) (x+2)²+(y-5)²=9
Use h=-2, k=5, r²=9.
SAT trap: Reverse signs inside parentheses.
EQUATIONS OF CIRCLESMEDIUMQuestion 37
The point (6,0) lies on x²+y²=36. What does this confirm?
Which choice is correct?
A) The center is (6,0)
B) The radius is 6
C) The diameter is 6
D) The area is 36
Show full solution
Correct answer: B) The radius is 6
The point is 6 units from the origin.
SAT trap: A point on the circle is one radius from center.
EQUATIONS OF CIRCLESMEDIUMQuestion 38
A circle centered at the origin passes through (8,6). What is its radius?
Which choice is correct?
A) 7
B) 10
C) 14
D) 100
Show full solution
Correct answer: B) 10
√(8²+6²)=10.
SAT trap: Use distance from center to point.
EQUATIONS OF CIRCLESMEDIUMQuestion 39
A circle centered at (2,3) passes through (5,7). What is its radius?
Which choice is correct?
A) 4
B) 5
C) 7
D) 25
Show full solution
Correct answer: B) 5
√((5-2)²+(7-3)²)=5.
SAT trap: Use the distance formula.
EQUATIONS OF CIRCLESMEDIUMQuestion 40
A circle has center (-1,4) and radius 5. Which point lies on it?
Which choice is correct?
A) (4,4)
B) (-1,8)
C) (3,7)
D) (0,4)
Show full solution
Correct answer: A) (4,4)
The distance from (-1,4) to (4,4) is 5.
SAT trap: Check distance from center.
EQUATIONS OF CIRCLESHARDQuestion 41
The circle x²+y²-8x+6y-11=0 has what center?
Which choice is correct?
A) (-4,3)
B) (4,-3)
C) (8,-6)
D) (-8,6)
Show full solution
Correct answer: B) (4,-3)
Completing the square gives (x-4)²+(y+3)²=36.
SAT trap: Half the coefficients carefully.
EQUATIONS OF CIRCLESHARDQuestion 42
For x²+y²-8x+6y-11=0, what is the radius?
Which choice is correct?
A) 3
B) 6
C) 11
D) 36
Show full solution
Correct answer: B) 6
Standard form is (x-4)²+(y+3)²=36.
SAT trap: Read r from r².
EQUATIONS OF CIRCLESHARDQuestion 43
The circle (x+1)²+(y-2)²=16 moves 3 units right. What is the new center?
Which choice is correct?
A) (-4,2)
B) (2,2)
C) (4,2)
D) (2,-1)
Show full solution
Correct answer: B) (2,2)
Original center (-1,2) becomes (2,2).
SAT trap: Right increases x.
EQUATIONS OF CIRCLESHARDQuestion 44
The circle (x-5)²+(y+4)²=9 moves 2 units up. What is the new center?
Which choice is correct?
A) (5,-6)
B) (5,-2)
C) (7,-4)
D) (3,-4)
Show full solution
Correct answer: B) (5,-2)
Original center (5,-4) becomes (5,-2).
SAT trap: Up increases y.
EQUATIONS OF CIRCLESHARDQuestion 45
A circle centered at (0,0) is tangent to x=7. What is its radius?
Which choice is correct?
A) 3.5
B) 7
C) 14
D) 49
Show full solution
Correct answer: B) 7
The perpendicular distance to x=7 is 7.
SAT trap: A tangent line is one radius from center.
Practice More SAT Geometry and Coordinate Math
Build accuracy with arc length, sector area, circle equations, and coordinate geometry.
How Are Tangents, Chords, and Inscribed Angles Tested?
These questions use perpendicular radius-tangent relationships, equal tangent segments, chord properties, and intercepted arcs.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 46
A radius to a point of tangency forms what angle with the tangent?
Which choice is correct?
A) 45°
B) 60°
C) 90°
D) 180°
Show full solution
Correct answer: C) 90°
A radius to a tangent point is perpendicular.
SAT trap: Tangent-radius angles are right angles.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 47
Two tangent segments from the same external point are drawn. One is 12. What is the other?
Which choice is correct?
A) 6
B) 12
C) 24
D) Cannot be determined
Show full solution
Correct answer: B) 12
Tangent segments from the same point are congruent.
SAT trap: Do not add them.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 48
An inscribed angle intercepts a 100° arc. What is the angle?
Which choice is correct?
A) 25°
B) 50°
C) 100°
D) 200°
Show full solution
Correct answer: B) 50°
An inscribed angle is half its intercepted arc.
SAT trap: Inscribed differs from central.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 49
An inscribed angle is 42°. What is its intercepted arc?
Which choice is correct?
A) 21°
B) 42°
C) 84°
D) 168°
Show full solution
Correct answer: C) 84°
Double the angle: 84°.
SAT trap: Double an inscribed angle to find its arc.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 50
An inscribed angle intercepts a diameter. What is its measure?
Which choice is correct?
A) 45°
B) 60°
C) 90°
D) 180°
Show full solution
Correct answer: C) 90°
It intercepts a semicircle, so the angle is 90°.
SAT trap: An angle in a semicircle is right.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 51
A radius is perpendicular to a chord at its midpoint. What does the radius do to the chord?
Which choice is correct?
A) Doubles it
B) Bisects it
C) Makes it tangent
D) Makes it a diameter
Show full solution
Correct answer: B) Bisects it
A perpendicular from the center bisects a chord.
SAT trap: Use equal chord halves.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 52
Congruent chords in the same circle intercept what kind of arcs?
Which choice is correct?
A) Congruent arcs
B) Supplementary arcs
C) Perpendicular arcs
D) Unrelated arcs
Show full solution
Correct answer: A) Congruent arcs
Equal chords subtend equal arcs.
SAT trap: Equal chords correspond to equal arcs.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 53
Which chord is always the longest?
Which choice is correct?
A) Radius
B) Diameter
C) Tangent
D) Minor arc
Show full solution
Correct answer: B) Diameter
A diameter is the longest chord.
SAT trap: A radius is not a full chord.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 54
A chord is 16 units and is bisected by a radius. What is each half?
Which choice is correct?
A) 4
B) 8
C) 16
D) 32
Show full solution
Correct answer: B) 8
16/2=8.
SAT trap: Bisected means equal halves.
TANGENTS, CHORDS, AND INSCRIBED ANGLESHARDQuestion 55
An inscribed angle and central angle intercept the same arc. If the inscribed angle is 35°, what is the central angle?
Which choice is correct?
A) 17.5°
B) 35°
C) 70°
D) 140°
Show full solution
Correct answer: C) 70°
The central angle is twice the inscribed angle.
SAT trap: Central angle equals the arc.
What Do Hard Mixed Circle Questions Look Like?
These questions combine formulas, coordinate geometry, tangents, chords, arc fractions, and scaling.
HARD MIXED CIRCLESHARDQuestion 56
A circle has area 64π. What is its circumference?
Which choice is correct?
A) 8π
B) 16π
C) 32π
D) 64π
Show full solution
Correct answer: B) 16π
r=8, so C=16π.
SAT trap: Find radius first.
HARD MIXED CIRCLESHARDQuestion 57
A circle has circumference 20π. What is its area?
Which choice is correct?
A) 25π
B) 50π
C) 100π
D) 400π
Show full solution
Correct answer: C) 100π
r=10, so A=100π.
SAT trap: Move from circumference to radius.
HARD MIXED CIRCLESHARDQuestion 58
A 90° sector has area 25π. What is the radius?
Which choice is correct?
A) 5
B) 10
C) 20
D) 25
Show full solution
Correct answer: B) 10
Full area is 100π, so r=10.
SAT trap: Scale the sector to the full circle.
HARD MIXED CIRCLESHARDQuestion 59
A 60° arc has length 4π. What is the radius?
Which choice is correct?
A) 6
B) 8
C) 12
D) 24
Show full solution
Correct answer: C) 12
(60/360)(2πr)=4π gives r=12.
SAT trap: Set up arc length carefully.
HARD MIXED CIRCLESHARDQuestion 60
A circle has center (3,-1) and passes through (9,7). What is the radius?
Which choice is correct?
A) 8
B) 10
C) 12
D) 100
Show full solution
Correct answer: B) 10
Distance is √(6²+8²)=10.
SAT trap: Use the distance formula.
HARD MIXED CIRCLESHARDQuestion 61
The circle x²+y²+6x-8y-11=0 has what radius?
Which choice is correct?
A) 3
B) 5
C) 6
D) 25
Show full solution
Correct answer: C) 6
Completing the square gives (x+3)²+(y-4)²=36.
SAT trap: Add square-completion constants.
HARD MIXED CIRCLESHARDQuestion 62
A tangent is 15 units and the external point is 17 from the center. What is the radius?
Which choice is correct?
A) 8
B) 10
C) 12
D) 16
Show full solution
Correct answer: A) 8
r²+15²=17², so r=8.
SAT trap: Use the radius-tangent right angle.
HARD MIXED CIRCLESHARDQuestion 63
A chord of length 24 is 5 units from the center. What is the radius?
Which choice is correct?
A) 12
B) 13
C) 17
D) 29
Show full solution
Correct answer: B) 13
Half chord is 12, so r²=12²+5²=169.
SAT trap: Perpendicular from center bisects chord.
HARD MIXED CIRCLESHARDQuestion 64
An inscribed angle intercepts 40% of the circle. What is the angle?
Which choice is correct?
A) 36°
B) 72°
C) 144°
D) 288°
Show full solution
Correct answer: B) 72°
Arc=144°, so angle=72°.
SAT trap: Convert the circle fraction to arc degrees first.
HARD MIXED CIRCLESHARDQuestion 65
A circle’s radius increases by 50%. By what factor does its area increase?
Which choice is correct?
A) 1.5
B) 2
C) 2.25
D) 3
Show full solution
Correct answer: C) 2.25
Area factor=(1.5)²=2.25.
SAT trap: Square the linear scale factor.
What Do Student-Produced Response Questions Look Like?
Enter the requested radius, area coefficient, decimal fraction, or angle measure.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 66
A circle has diameter 26. What is its radius?
Enter your answer.
Show full solution
Correct answer: 13
26/2=13.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 67
A circle has radius 3. What is the numerical coefficient of π in its area?
Enter your answer.
Show full solution
Correct answer: 9
A=9π.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 68
A central angle is 144°. What fraction of the circle is this as a decimal?
Enter your answer.
Show full solution
Correct answer: 0.4
144/360=0.4.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 69
The circle (x-2)²+(y+5)²=49 has what radius?
Enter your answer.
Show full solution
Correct answer: 7
r=√49=7.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 70
An inscribed angle intercepts a 126° arc. What is the angle?
Enter your answer.
Show full solution
Correct answer: 63
126/2=63.
SAT trap: Enter only the requested numerical value.
Common SAT Circle Mistakes
| Mistake | Correction |
|---|---|
| Using diameter as radius | Divide diameter by 2 before using πr² |
| Confusing circumference and area | Circumference uses 2πr; area uses πr² |
| Using the full circle for an arc or sector | Multiply by central angle/360° |
| Reading radius directly from r² | Take the positive square root |
Two-Week SAT Circles Study Plan
| Days | Focus |
|---|---|
| 1-3 | Q1-Q15: circle basics |
| 4-7 | Q16-Q30: arcs and sectors |
| 8-10 | Q31-Q45: circle equations |
| 11-12 | Q46-Q55: tangents and chords |
| 13-14 | Q56-Q70 and review |
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