Circles: SAT Practice Questions

67 official Circles questions (Geometry and Trigonometry) from the SAT Suite Question Bank. Pick any question from the list, or start with Question 1. 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.

Start with Question 1

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: 22
Hard: 41
Extreme: 0

Start here

FoundationQuestion 6Easy SAT question IntermediateQuestion 26Hard SAT question ChallengeQuestion 60Hard SAT question

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.

All 67 official questions

In the same order as the list on the left. Each one opens in practice mode.