Quiz about Area and Sector

Question 1

The area of the circle is 44 in. What is the radius?

Accepted Answer

3.74 in

Answer

14 in

Answer

7.48 in

Answer

28 in

Question 2

The diameter of the circle is 8 cm. What is the area?

Accepted Answer

50.26 cm

Answer

201.06 cm

Answer

25.13 cm

Answer

16 cm

Question 3

The area of the whole circle is 42 $$ft^2$$ . The central angle is $$315\degree$$ . What is the area of the blue shaded sector?

Accepted Answer

36.75 $$ft^2$$

Answer

5.25 $$ft^2$$

Answer

47.25 $$ft^2$$

Answer

315 $$ft^2$$

Question 4

Angle ABC is $$70\degree$$ . The area of the shaded sector is 30 $$mi^2$$ . What is the area of the whole circle?

Accepted Answer

154.28 $$mi^2$$

Answer

126.33 $$mi^2$$

Answer

24.16 $$mi^2$$

Answer

840 $$mi^2$$

Question 5

The radius of the circle is 28 m. The measure of central angle DFE is $$137\degree$$ . What is the area of the smaller orange sector?

(Hint: you will need to first use the radius to find the area of the whole circle.)

Accepted Answer

937.31 $$m^2$$

Answer

326.51 $$m^2$$

Answer

862.24 $$m^2$$

Answer

1525.70 $$m^2$$

Question 6

The radius of the circle is 4 ft. The measure of central angle DFE is $$75\degree$$ . What is the area of the smaller orange sector DFE?

(Hint: you must first use the radius to find the area of the whole circle.)

Accepted Answer

10.47 $$ft^2$$

Answer

39.79 $$ft^2$$

Answer

68.88 $$ft^2$$

Answer

12.23 $$ft^2$$

Question 7

The area of a circle is 27 ft. What is the radius?

Accepted Answer

2.93 ft

Answer

9 ft

Answer

5.86 ft

Answer

8.64 ft

Question 8

Central angle XZY is $$10\degree$$ . The area of the whole circle is 36 $$in^2$$ . What is the area of the shaded sector?

Accepted Answer

1 $$in^2$$

Answer

100 $$in^2$$

Answer

10 $$in^2$$

Answer

6 $$in^2$$

Question 9

Central angle TRS is $$150\degree$$ . The area of the circle is 300 $$cm^2$$ . What is the area of the shaded sector? (Hint: the shaded sector does not have an angle of 150 degrees.)

Accepted Answer

175 $$cm^2$$

Answer

125 $$cm^2$$

Answer

150 $$cm^2$$

Answer

225 $$cm^2$$

Question 10

The radius of the circle is 10 in. The measure of angle EFD is $$60\degree$$ . What is the area of the smaller orange sector $$EFD$$ ?

(hint: first use the radius to find the area of the whole circle.)

Accepted Answer

52.36 $$in^2$$

Answer

10.47 $$in^2$$

Answer

104.72 $$in^2$$

Answer

60 $$in^2$$

Question 11

The radius of the circle is 14 cm. The measure of the larger angle $$EFD$$ is $$256\degree$$ . Find the area of the larger blue sector.
(Hint: you will first need to use the radius to find the area of the whole circle.)

Accepted Answer

437.87 $$cm^2$$

Answer

177.87 $$cm^2$$

Answer

205.25 $$cm^2$$

Answer

314.16 $$cm^2$$

Question 12

Question 12.

Accepted Answer

a.) about 693 $$mi^2$$ b.) about 325 $$mi^2$$

Answer

a.) about 347 $$mi^2$$ b.) about 325 $$mi^2$$

Answer

a.) about 693 $$mi^2$$ b.) about 425 $$mi^2$$

Answer

a.) about 672 $$mi^2$$ b.) about 278 $$mi^2$$

Question 13

Find the area of the circle

Accepted Answer

153.86

Answer

43.96

Answer

87.82

Answer

307.72

Question 14

Find the area of each sector.

Accepted Answer

52.4 in2

Answer

18,864 in²

Answer

60 in2

Answer

10.47 in

Question 15

Find the area of the sector.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 16

Find the area of the blue shaded sector.

Accepted Answer

9.42 cm2

Answer

37.70 cm2

Answer

6.28 cm2

Answer

28.27 cm2

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