Bluebook SAT Test Circles 3

Question 1

The equation (x − 1)² + (y + 7)² = 25 represents a circle. What are the center and radius?

Accepted Answer

Center (1, −7), radius 5

Answer

Center (−1, 7), radius 5

Answer

Center (1, −7), radius 25

Answer

Center (1, 7), radius 5

Question 2

A circle has area 100π. What is the diameter?

Accepted Answer

20

Answer

10

Answer

50

Answer

100

Question 3

An arc length of 6π is cut from a circle of radius 9. What is the central angle in radians?

Accepted Answer

2π/3

Answer

π/3

Answer

3π/2

Answer

π

Question 4

What is the area of a sector with radius 5 and central angle π/2 radians?

Accepted Answer

25π/4

Answer

5π/2

Answer

25π/2

Answer

5π/4

Question 5

An inscribed angle intercepts a semicircle (arc of 180°). What is the measure of the inscribed angle?

Accepted Answer

90°

Answer

180°

Answer

45°

Answer

60°

Question 6

Rewrite x² + y² − 4x + 8y + 4 = 0 in standard form and identify the center.

Accepted Answer

Center (2, −4)

Answer

Center (−2, 4)

Answer

Center (4, −8)

Answer

Center (2, 4)

Question 7

A wheel has radius 3 feet. How far does the wheel travel in one full rotation?

Accepted Answer

6π feet

Answer

3π feet

Answer

9π feet

Answer

12π feet