Question 1

Identify a semicircle that contains $C$.

Accepted Answer

$\widehat{ACB}$

Answer

$\widehat{ABC}$

Answer

$\widehat{CB}$

Answer

$\widehat{AC}$

Question 2

The circumference of a circle is 64$\pi$ cm. Find the diameter, the radius, and the length of an arc that measures 190$^{\circ}$.

Accepted Answer

64 cm; 32 cm; 33.8$\pi$ cm

Answer

32 cm; 64 cm; 16.9$\pi$ cm

Answer

128 cm; 32 cm; 18.5$\pi$ cm

Answer

64 cm; 128 cm; 16.9$\pi$ cm

Question 3

Find the measure of $\widehat{CDE}$.

Accepted Answer

172$^{\circ}$

Answer

188$^{\circ}$

Answer

182$^{\circ}$

Answer

162$^{\circ}$

Question 4

The figure represents the overhead view of a deck surrounding a hot tub. To the nearest tenth, what is the area of the deck?

Accepted Answer

52.5 m$^2$

Answer

75.4 m$^2$

Answer

22.9 m$^2$

Answer

28.7 m$^2$

Question 5

A 4 ft by 5 ft dock is anchored in the middle of a lake. The bow of a boat is tied to a corner of the dock with a 5ft rope, as shown in the picture. To the nearest square foot, find the area of the region in which the bow of the boat can travel.

Accepted Answer

60 ft$^2$

Answer

None of these.

Answer

81 ft$^2$

Answer

58 ft$^2$

Question 6

Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of the circle. Leave your answer in terms of $\pi$.

Accepted Answer

$\left(4 - \pi\right)$ in$^2$

Answer

$\pi$ in$^2$

Answer

$\left(4 - \frac{\pi}{2}\right)$ in$^2$

Answer

$\left(4 - \frac{\pi}{4}\right)$ in$^2$

Question 7

The area of sector AOB is 20.25$\pi$ ft$^2$. Find the exact area of the shaded segment.

Accepted Answer

$(20.25 - 40.5)$ ft$^2$

Answer

$(20.25 - 40.5\sqrt{2})$ ft$^2$

Answer

$(20.25 - 81)$ ft$^2$

Answer

None of these.

Question 8

Find the degree measure of an angle of $\frac{7\pi}{10}$ radians.

Accepted Answer

126$^{\circ}$

Answer

$\frac{7\pi}{1800}$$^{\circ}$

Answer

2.2$^{\circ}$

Answer

126$\pi$$^{\circ}$

Question 9

Find the radian measure for an angle of 110$^{\circ}$.

Accepted Answer

$\frac{11\pi}{18}$

Answer

$\frac{18}{11\pi}$

Answer

$\frac{18\pi}{11}$

Answer

$\frac{11}{18\pi}$

Question 10

Find the length of the major arc to the nearest tenth.

Accepted Answer

35.2 ft

Answer

44.4 ft

Answer

70.4 ft

Answer

11.2 ft

Question 11

A Ferris wheel has a radius of 65 feet. Two cars are located so that the central angle between them is 150$^{\circ}$. To the nearest tenth, find the length of the intercepted arc between those two cars on the Ferris wheel.

Accepted Answer

170.2 ft

Answer

24.8 ft

Answer

408.4 ft

Answer

9,750.0 ft

Question 12

A low-wattage radio station can be heard only within a certain distance from the station. On the graph at right, the circular region represents that part of the city where the station can be heard with the center being the location of the station. Which equation represents the boundary for the region where the station can be heard?

Accepted Answer

$(x + 6)^2 + (y + 1)^2 = 16$

Answer

$(x - 6)^2 + (y - 1)^2 = 16$

Answer

$(x + 6)^2 + (y + 1)^2 = 4$

Answer

$(x - 6)^2 + (y - 1)^2 = 4$

Question 13

Write the standard form equation for a circle with center (10, -6) and $r =$ 6

Accepted Answer

$(x - 10)^2 + (y + 6)^2 = 36$

Answer

$(x - 10)^2 + (y + 6)^2 = 6$

Answer

$(x + 10)^2 + (y - 6)^2 = 36$

Answer

$(x + 10)^2 + (y - 6)^2 = 6$

Question 14

Write the standard form equation for a circle with center (-6, -8) that passes through the origin.

Accepted Answer

$(x + 6)^2 + (y + 8)^2 = 100$

Answer

$(x - 6)^2 + (y - 8)^2 = 196$

Answer

$(x + 6)^2 + (y + 8)^2 = 14$

Answer

$(x - 6)^2 + (y - 8)^2 = 10$

Question 15

Find the center and radius of the circle with standard form equation $(x - 3)^2 + (y - 6)^2 = 4$

Accepted Answer

Center (3, 6) and $r =$ 2

Answer

Center (-3, -6) and $r =$ 2

Answer

Center (3, 6) and $r =$ 4

Answer

Center (-3, -6) and $r =$ 4

Related quizzes

Related quizzes