The radius of a circle is 24 cm. Calculate the area of the circle.

A) \$520\pi\$

B) \$576\pi\$

C) \$230\pi\$

D) \$470\pi\$

The circle defined by the equation \$(x - 4)^2 + (y - 4)^2 = 25\$. It has its center at points (4, 4) and includes points (7, 8) on the circle. What is the area of a circle?

A) \$45\pi\$

B) \$35\pi\$

C) \$25\pi\$

D) \$75\pi\$

An angle in a circle measures \$π/4\$ radians. What is the measure of the angle in degrees?

A) 20°

B) 25°

C) 35°

D) 45°

Points A and B lie on circle O. AO = 6 and ∠AOB = 120°. Find the area of a sector AOB.

A) \$12\pi\$

B) \$22\pi\$

C) \$32\pi\$

D) \$42\pi\$

A circle of circumference 60 is composed of alternating arcs of length 3 and x. If there are 12 arcs of length 3 and 12 arcs of length x, how many degrees does an arc of length x represent?

A) 12

B) 22

C) 32

D) 42

Two circles with centers 0 and P are tangent to the x-axis in the xy-plane as shown.Points A and B terminate diameters of their respective circles that are each parallel to the y-axis. Line m is perpendicular to the line including points 0 and P. What is the slope of line m?

A) 10

B) 20

C) 30

D) 40

The radius of circle X is three times the radius of circle Y. If the sum of the circles circumferences is \$40\pi\$, what is the radius of circle X?

A) 15

B) 12

C) 18

D) 20

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

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

A) 199°

B) 195°

C) 192°

D) 129°

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

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