Circles: SAT Practice Questions
65 official Circles questions (Geometry and Trigonometry) from the SAT Suite Question Bank, in the same question-ID order used in signed-in practice. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.
What does Circles test on the SAT?
Circle questions test radius, diameter, circumference, area, arcs, sectors, angles, tangents, and equations in the coordinate plane. Many problems connect a diagram to algebraic relationships.
Common question types
- Use arc, sector, circumference, or area relationships
- Interpret or write a circle equation
- Apply tangent, chord, or inscribed-angle properties
Common traps
- Confusing radius and diameter
- Using an arc measure as an arc length
- Reading the signs of a circle's center incorrectly from its equation
Difficulty distribution
Start with the easier questions, then work toward the highest score bands.
- Easy
- 4
- Medium
- 21
- Hard
- 40
- Extreme
- 0
Featured Circles questions
How do I improve at Circles?
- 1Mark every radius and equal-radius relationship.
- 2Separate angle measure, arc measure, and arc length.
- 3Rewrite coordinate equations in standard circle form before identifying the center or radius.
Desmos method
Graph the circle equation and any line or point constraints. Intersections reveal chord or tangent points, while sliders can identify an unknown center or radius satisfying the diagram.
Related Geometry and Trigonometry skills
All 65 official questions
- Question 1 0815a5afMedium
- Question 2 0acfddb5Hard
- Question 3 10e059a6Hard
- Question 4 11301fb6Medium
- Question 5 149021daHard
- Question 6 186fdbcaEasy
- Question 7 196e8e6eHard
- Question 8 1b2b20b9Hard
- Question 9 1efd7ef3Medium
- Question 10 2266984bHard
- Question 11 23c5fcceEasy
- Question 12 244ff6c4Hard
- Question 13 249d3f80Hard
- Question 14 24cec8d1Hard
- Question 15 267f82b5Medium
- Question 16 27f1db42Hard
- Question 17 2855cb58Hard
- Question 18 2d521ca9Medium
- Question 19 35d37640Hard
- Question 20 3e577e4aHard
- Question 21 408b39eaMedium
- Question 22 44d67c6cHard
- Question 23 5011b039Medium
- Question 24 6585d841Hard
- Question 25 69b0d79dHard
- Question 26 6b4707aaHard
- Question 27 74d8b897Medium
- Question 28 76c73dbfHard
- Question 29 800e71b8Medium
- Question 30 82c8325fMedium
- Question 31 8493fd10Hard
- Question 32 856372caMedium
- Question 33 858fd1cfHard
- Question 34 89661424Hard
- Question 35 8e7689e0Medium
- Question 36 95ba2d09Medium
- Question 37 981275d2Hard
- Question 38 9acd101fHard
- Question 39 9adb86edHard
- Question 40 9d159400Hard
- Question 41 9e44284bHard
- Question 42 9f9112abHard
- Question 43 a0cacec1Medium
- Question 44 a38c0183Hard
- Question 45 a5ff1a96Hard
- Question 46 aa2d36feMedium
- Question 47 ab176ad6Hard
- Question 48 acd30391Hard
- Question 49 b0a72bdcHard
- Question 50 b8a225ffHard
- Question 51 b96ff36eMedium
- Question 52 c447367fHard
- Question 53 c8345903Hard
- Question 54 ca2235f6Hard
- Question 55 d03e29f1Easy
- Question 56 d12bca0aHard
- Question 57 e50afdd3Medium
- Question 58 e80d62c6Hard
- Question 59 ebbf23aeHard
- Question 60 ee540927Medium
- Question 61 f1c1e971Medium
- Question 62 f2495de4Easy
- Question 63 fa2771d5Medium
- Question 64 fb58c0dbHard
- Question 65 fc8aa563Medium
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