Free SAT Circles practice questionsdigital SAT, 2026 format
Equations of circles in the xy-plane from a center and radius, plus arc length and sector area from a central angle.
Answer each question, then read why the right answer is right and why the tempting one is wrong.
Question 1
A circle has a radius of 9. A sector of the circle has an area of 27π/2. What is the measure, in radians, of the sector's central angle?
Question 2
In a circle with center O, central angle AOB measures 3π/4 radians and the radius is 8. What is the area of sector AOB?
Question 3
In a circle with radius 12, a central angle measures 60°. What is the length of the arc intercepted by the central angle?
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