Bluebook SAT Test Circles 9

Question 1

The equation of a circle is (x − 4)² + (y − 4)² = 16. Which of the following points lies on the circle?

Accepted Answer

Both A and B

Answer

(4, 8)

Answer

(8, 4)

Answer

(0, 4)

Question 2

A circle has center (3, −1) and passes through the point (7, 2). What is the area of the circle?

Accepted Answer

25π

Answer

5π

Answer

√25 π

Answer

10π

Question 3

A chord of a circle with radius 10 is 12 units long. How far is the chord from the center?

Accepted Answer

8

Answer

6

Answer

√(10²−12²)

Answer

4

Question 4

What is the length of the arc intercepted by a central angle of 2π/3 radians in a circle with diameter 18?

Accepted Answer

6π

Answer

3π

Answer

12π

Answer

9π

Question 5

The circle x² + y² + 4x − 12y + 15 = 0 has center (h, k). What is h + k?

Accepted Answer

−2 + 6 = 4

Answer

8

Answer

−8

Answer

2

Question 6

Two tangent segments are drawn to a circle from an external point P. One tangent touches the circle at A and the other at B. If the arc AB (the minor arc) measures 100°, what is the measure of angle P?

Accepted Answer

80°

Answer

50°

Answer

100°

Answer

40°

Question 7

A circle has radius 4. A sector of this circle has a perimeter of 4π + 8. What is the central angle of the sector in radians?

Accepted Answer

π

Answer

π/2

Answer

2π/3

Answer

π/3