Bluebook SAT Test Circles 10

Question 1

A circle passes through the origin. Its center is at (5, 0). What is the equation of the circle?

Accepted Answer

(x−5)² + y² = 25

Answer

x² + y² = 25

Answer

x² + y² = 5

Answer

(x+5)² + y² = 25

Question 2

In a circle, an inscribed angle measures 47°. Another inscribed angle intercepts the same arc. What is its measure?

Accepted Answer

47°

Answer

94°

Answer

133°

Answer

23.5°

Question 3

A circle has circumference C. What is the area of the circle in terms of C?

Accepted Answer

C²/(4π)

Answer

C²/π

Answer

C²/(2π)

Answer

πC²

Question 4

The circle (x−2)² + (y+3)² = r² passes through the point (−1, 1). What is r²?

Accepted Answer

25

Answer

9

Answer

13

Answer

18

Question 5

Two circles have radii in the ratio 2:5. The area of the smaller circle is 12π. What is the area of the larger circle?

Accepted Answer

75π

Answer

30π

Answer

50π

Answer

60π

Question 6

A sector has a central angle of 3π/4 radians and arc length 9π/2. What is the radius?

Accepted Answer

6

Answer

4

Answer

3

Answer

12

Question 7

A circle has center O and radius 10. Chord AB has length 16. What is the distance from O to the midpoint of AB?

Accepted Answer

Both A and C

Answer

6

Answer

8

Answer

√(100−64)