Free Printable Arc Length and Sector Area

1.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

2.

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?

a)

12.7 in

b)

125.7 in

c)

7.9 in

d)

39.3 in

3.

In a circle, a 90° sector has area 64π in². What is the radius of the circle?

a)

16 in

b)

32 in

c)

64 in

d)

128 in

4.

The diameter of the circle is given. Find the area of the shaded sector of the circle.

a)

b)

c)

d)

5.

Find the arc length of AB. Round your answer to the nearest tenth.

a)

8 units

b)

4.2 units

c)

8.4 units

d)

16.8 units

6.

Find the area of the sector. Round your answer to the nearest tenth.

a)

3.9 m²

b)

7.9 m²

c)

9.6 m²

d)

11.8 m²

7.

Calculate the length of the bold arc.

a)

5040 cm

b)

43 cm

c)

44 cm

d)

14 cm

8.

What is the length L called?

a)

circumference

b)

tangent

c)

arc

d)

sector

9.

What is the green area called?

a)

sector

b)

segment

c)

arc

d)

section

10.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

11.

Find the length of arc MPN.

a)

$\frac{21}{4}\pi$ in.

b)

$\frac{21}{8}\pi$ in

c)

$\frac{35}{8}\pi$ in

d)

$\frac{35}{4}\pi\$ in

12.

Find the radius of Circle R.

a)

$4$

b)

$\frac{45}{2}$

c)

$45\pi$

d)

$7$

13.

Find the circumference of circle R.

a)

$108\pi$

b)

$1200\pi$

c)

$\frac{3}{4}\pi$

d)

$30\pi$

14.

The minute hand on a clock is 8 in long. Find the distance the hand moves if it starts at 12:00 and moves to 12:16. Round your answer to the nearest tenth of an inch.

a)

13.4 in

b)

3.35 in

c)

53.6 in

d)

2.1 in

15.

The minute hand on a clock is 8 in long. Find the area the hand moves if it starts at 12:00 and moves to 12:16. Round your answer to the nearest tenth of an inch.

a)

$13.4\ in^2$

b)

$214.5\ in^2$

c)

$53.6\ in^2$

d)

$2.1\ in^2$ in

Arc Length and Sector Area

Total questions: 15

Worksheet time: 45mins

Similar Resources on Wayground