Bluebook SAT Test Circles 7

Question 1

A circle has area 25π. What is the circumference?

Accepted Answer

10π

Answer

5π

Answer

50π

Answer

25π

Question 2

Convert 210° to radians.

Accepted Answer

7π/6

Answer

7π/4

Answer

3π/2

Answer

5π/6

Question 3

The circle x² + y² = 25 has center at the origin. Which of the following points lies inside the circle?

Accepted Answer

(3, 3)

Answer

(5, 0)

Answer

(4, 3)

Answer

(0, 6)

Question 4

A sector has central angle 3π/2 radians and area 27π/2. What is the radius?

Accepted Answer

3

Answer

6

Answer

9

Answer

√27

Question 5

The central angle in a circle is 5 times the inscribed angle intercepting the same arc. What is the inscribed angle?

Accepted Answer

This cannot happen; a central angle is always exactly 2× the inscribed angle

Answer

The inscribed angle is 36°

Answer

The inscribed angle is 72°

Answer

The inscribed angle is 45°

Question 6

A circle has center (−3, 2). Which equation could represent this circle?

Accepted Answer

(x + 3)² + (y − 2)² = 10

Answer

(x − 3)² + (y + 2)² = 10

Answer

(x + 3)² + (y + 2)² = 10

Answer

(x − 3)² + (y − 2)² = 10

Question 7

The length of an arc is 8π and the radius is 16. What is the central angle in degrees?

Accepted Answer

90°

Answer

45°

Answer

180°

Answer

60°