SAT Math · Geometry and Trigonometry
Circles practice questions
Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.
- Question 23 · easyA circle is defined by the equation (x+2)² + (y-6)² = 81. What is the radius of the circle?
- Question 24 · easyA circle has radius 12. What is the area of a sector with a central angle of 60°?
- Question 44 · hardA circle has radius 13. A chord of the circle has length 24. What is the distance from the center of the circle to the chord?
- Question 104 · easyA circle has radius 9. What is the length of an arc with a central angle of 80°, in terms of π? (Enter your answer as a…
- Question 164 · mediumThe equation x² + y² - 6x + 8y - 11 = 0 represents a circle. What is the radius of this circle?
- Question 243 · easyA circle centered at the origin passes through the point (3, 4). What is the radius of the circle?
- Question 244 · mediumA triangle is inscribed in a circle such that one side of the triangle is a diameter of the circle. What must be true about the…
- Question 262 · mediumA circle has center (2, 3). A line is tangent to the circle at the point (2, 8). What is the slope of the tangent line?
- Question 263 · mediumIn a circle, a central angle measures 80°. What is the measure of an inscribed angle that intercepts the same arc?
- Question 264 · hardThe circle x² + y² = 32 is tangent to the line y = x + k for a positive value of k. What is that value of k?
- Question 282 · easyA circle is defined by the equation (x-5)² + (y+2)² = 49. What is the radius of the circle?
- Question 318 · easyA circle is defined by the equation (x-1)² + (y+5)² = 100. What is the radius of the circle?