Bluebook SAT Test Circles 2

Question 1

Which equation represents a circle with center (−2, 4) and radius 3?

Accepted Answer

(x + 2)² + (y − 4)² = 9

Answer

(x − 2)² + (y + 4)² = 9

Answer

(x + 2)² + (y − 4)² = 3

Answer

(x − 2)² + (y − 4)² = 9

Question 2

Convert the central angle 3π/4 radians to degrees.

Accepted Answer

135°

Answer

270°

Answer

60°

Answer

45°

Question 3

A circle has circumference 18π. What is its radius?

Accepted Answer

9

Answer

18

Answer

6

Answer

3

Question 4

Two radii of a circle form a central angle of 60°. The radius is 12. What is the length of the arc between them?

Accepted Answer

4π

Answer

12π

Answer

2π

Answer

6π

Question 5

The equation x² + y² + 6x − 2y + 6 = 0 can be rewritten in standard form. What is the radius?

Accepted Answer

2

Answer

4

Answer

6

Answer

√6

Question 6

A chord in a circle has a length equal to the radius. What is the central angle subtended by this chord?

Accepted Answer

60°

Answer

90°

Answer

120°

Answer

45°

Question 7

A sector of a circle has radius 8 and area 16π. What is the central angle in degrees?

Accepted Answer

90°

Answer

45°

Answer

180°

Answer

120°