1

In the xy-plane, a circle with radius 5 has a center (-8,6). Which of the following is the circle’s equation?

A) \$(x-8)^2+(y-6)^2 = 25\$

B) \$(x+8)^2+(y-6)^2 =25\$

C) \$(x+8)^2 + (y+6)^2 =5\$

D) \$(x-8)^2 + (y -6)^2 = 5\$

2

A pizza with a diameter of 8 inches is cut and separated into four slices. What is the perimeter of all four slices?

A) 32 + 4π

B) 32 + 16π

C) 32 + 8π

D) 32 + 18π

3

If the area of a circle with a radius of 10 inches is decreased by 64 square inches to form a smaller circle, by how many inches will the radius have decreased?

A) 4

B) 2

C) 6

D) 10

4

A circle O has radius 8,angle XOY measures \$5/16 \pi\$radians.What is the measure of minor arc XY?

A) \$4/5 π\$ radians

B) \$2/5 π\$ radians

C) \$5/2\$ radians

D) \$5/2 π\$ radians

5

Point 0 is the center of the circle above. If the area of the entire circle is 64π. What is the area of the shaded region?

A) 14π

B) 13π

C) 12π

D) 15π

6

In the figure above, 0 is the center of the circle and OM is a radius. If the measure of angle OMN is 30°, then the length of minor arc MN is what fraction of the circumference of circle 0?

A) \$4/6\$

B) \$1/2\$

C) \$3/2\$

D) \$1/3\$

7

In the figure above, \$\bar(AB) = 6\$ and \$\bar(BC)\$ is a diameter of the circle with center 0. What is the area of the shaded region?

A) \$6π=3/sqrt3\$

B) \$6π=9 \sqrt 3\$

C) \$36π=3 \sqrt 3\$

D) \$36π=18 \sqrt 3\$

8

The number of radians in a 720° angle can be written as απ, where a is a constant. What is the value of a?

A) 4

B) 5

C) 6

D) 7

9

An angle has a measure of \$16\pi/15\$ radians. What is the measure of the angle, in degrees?

A) 199°

B) 195°

C) 129°

D) 192°

10

In the xy-plane above, points P, Q, R, and Tlie on the circle with center O. The degree measures of angles POQ and ROT are each 30°. What is the radian measure of angle QOR?

A) \$(1\pi)/3\$

B) \$(5\pi)/6\$

C) \$(2\pi)/3\$

D) \$(3\pi)/4\$