ACT Math · Geometry

Circles, arcs, and sectors practice questions

Each free question on this page comes with its answer and a full explanation.

  1. Question 23A circle has radius 9. What is the length of an arc with a central angle of 80°?
  2. Question 28A circle has radius 6. What is the area of a sector with a central angle of 150°?
  3. Question 65A circle has center (3, -2) and radius 5. Which point lies on the circle?
  4. Question 108An arc has length 10π and corresponds to a central angle of 100°. What is the radius of the circle?
  5. Question 109A central angle measures 88°. What is the measure of an inscribed angle that intercepts the same arc?
  6. Question 114A tangent segment from an external point to a circle has length 12. The circle's radius is 9. What is the distance from the…
  7. Question 152What are the center and radius of the circle given by x² + y² - 6x + 4y - 12 = 0?
  8. Question 194A circle has radius 10. A chord is drawn 6 units from the center. What is the length of the chord?
  9. Question 195A circle has radius 8. What is the area of a sector with a central angle of 90°?
  10. Question 199Two tangent segments are drawn from an external point to a circle, forming an angle of 50° between them. What is the measure of…
  11. Question 258A tangent line and a chord meet at the point of tangency, forming a tangent-chord angle of 40°. What is the measure of the…
  12. Question 259A circle has diameter 20. What is the length of an arc with a central angle of 72°?

Lessons on this skill

Related skills