Free Printable Central angles, Arcs, and Sectors

1.

The measure of the central angle is equal to the measure of the arc intercepted by its rays.

a)

always true

b)

sometimes true

c)

never true

2.

What is the area of a circle whose radius is 9cm?

a)

$9\pi\ cm^2$

b)

$18\pi\ cm^2$

c)

$40.5\pi\ cm^2$

d)

$81\pi\ cm^2$

3.

What is the circumference of a circle whose diameter is 16ft?

a)

$8\pi\ ft$

b)

$16\pi\ ft$

c)

$32\pi\ ft$

d)

$64\pi\ ft$

4.

Find the area of a circle, if its circumference is

15\pi\ cm

.

a)

$15\pi\ cm^2$

b)

$30\pi\ cm^2$

c)

$56.25\pi\ cm^2$

d)

$225\pi\ cm^2$

5.

What is the measure of angle ARV?

(a)

6.

What is the measure of arc EV?

(a)

7.

What is the length of arc JA if RV is 8cm?

a)

$\frac{20\pi}{9}cm$

b)

$\frac{22\pi}{9}cm$

c)

$\frac{10\pi}{3}cm$

d)

$4\pi\ cm$

8.

Find the area of the sector ERI if JI is 18cm.

a)

$\frac{9\pi}{2}cm^2$

b)

$9\pi\ cm^2$

c)

$\frac{81\pi}{4}cm^2$

d)

$81\pi\ cm^2$

9.

Solve for the area of the shaded region if ER = 5cm.

a)

$\frac{5\pi\ -10}{2}cm^2$

b)

$\frac{5\pi\ -\ 10}{4}cm^2$

c)

$\frac{25\pi\ -\ 50}{2}cm^2$

d)

$\frac{25\pi\ -\ 50}{4}cm^2$

10.

What is the measure of angle JGO?

(a)

11.

What is the measure of arc UI?

(a)

12.

What is the length of arc JO if GO is 6cm?

a)

$\frac{7\pi}{5}cm$

b)

$\frac{8\pi}{5}cm$

c)

$\frac{24\pi}{5}cm$

d)

$\frac{21\pi}{5}cm$

13.

What is the area of the sector JGI if IG = 12ft?

a)

$\frac{22\pi}{5}ft^2$

b)

$\frac{44\pi}{5}ft^2$

c)

$\frac{264\pi}{5}ft^2$

d)

$\frac{276\pi}{5}ft^2$

14.

What is the area of sector UGO if JL = 18 cm?

a)

$\frac{1323\pi}{40}ft^2$

b)

$\frac{147\pi}{20}ft^2$

c)

$\frac{147\pi}{10}ft^2$

d)

$\frac{1323\pi}{10}ft^2$

Central angles, Arcs, and Sectors

Total questions: 14

Worksheet time: 12mins

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