SAT Math: Circles, Arcs, and Angles (Drill 3)

About This Drill

SAT Math: Circles, Arcs, and Angles (Drill 3) 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 test the equation of a circle, arc length, sector area, central and inscribed angle theorems, and tangent line properties. This drill emphasizes applying circle theorems to find angle measures and arc lengths in multi-step problems.

Questions in This Drill

1. A circle has center (3, −2) and passes through the point (7, −2). What is the equation of the circle?
2. A central angle of 150° intercepts an arc on a circle of radius 6. What is the arc length?
3. An inscribed angle in a circle intercepts an arc of 100°. What is the measure of the inscribed angle?
4. What is the area of a sector with central angle π/3 radians and radius 9?
5. A line is tangent to a circle at point P. If the radius to point P has slope 3/4, what is the slope of the tangent line?