SAT Math: Circles, Arcs, and Angles (Drill 2)

About This Drill

SAT Math: Circles, Arcs, and Angles (Drill 2) is a Math practice drill covering Circles, Arcs, and Angles. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT circle questions cover the standard equation of a circle, arc length, sector area, central and inscribed angles, and tangent lines. This drill includes questions on intersecting chords and using arc relationships to find missing angle measures.

Questions in This Drill

1. Which equation represents a circle with center (−1, 5) and radius 3?
2. A circle has a radius of 12. What is the length of an arc subtended by a central angle of π/3 radians?
3. A circle has its center at the origin. A radius drawn to the point (8, 6) has a slope of 3/4. What is the slope of the tangent line at (8, 6)?
4. A sector of a circle with radius 10 has a central angle of 2π/5 radians. What is the area of the sector?
5. The equation (x − 3)² + (y − 4)² = 25 represents a circle. Which point lies on the circle?