Bluebook SAT Test Circles 6

Question 1

Write the equation of a circle with center (7, −3) and radius 4.

Accepted Answer

(x − 7)² + (y + 3)² = 16

Answer

(x + 7)² + (y − 3)² = 16

Answer

(x − 7)² + (y − 3)² = 16

Answer

(x − 7)² + (y + 3)² = 4

Question 2

A circle has a central angle of 240° and a radius of 3. What is the arc length?

Accepted Answer

4π

Answer

8π

Answer

6π

Answer

2π

Question 3

An inscribed angle of 65° intercepts an arc. The central angle subtending the same arc is:

Accepted Answer

130°

Answer

65°

Answer

32.5°

Answer

195°

Question 4

The diameter of a circle is the chord passing through the center. If an inscribed angle intercepts the diameter, what is the angle's measure?

Accepted Answer

90°

Answer

180°

Answer

45°

Answer

60°

Question 5

Rewrite x² + y² + 12x − 16y + 75 = 0 in standard form. What is the radius?

Accepted Answer

5

Answer

75

Answer

√75

Answer

10

Question 6

Two tangent lines from an external point each touch a circle of radius 5. The distance from the external point to the center is 13. What is the length of each tangent segment?

Accepted Answer

12

Answer

8

Answer

√194

Answer

√120

Question 7

A circle has equation (x−2)²+(y+6)²=r². The point (6, −6) lies on the circle. What is r?

Accepted Answer

4

Answer

16

Answer

8

Answer

2