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Arc Length s=rΘ

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

In a sector, the inscribed angle is 0.68 radians and the radius is 4 cm. What is the arc length of the sector?

a)

5.88 cm

b)

2.72 cm

c)

2.72 radians

d)

5.88 radians

2.

If the arc length of a sector is 61.3 feet, theta measures 270°, what is the measure of the radius to the nearest unit?

a)

13 radians

b)

4 feet

c)

13 feet

d)

4 radians

3.

If the radius of a circle is 16 feet and the arc length is 75.4 what is the measure of Theta(Θ) in radians?

a)

18.85 radians

b)

4.71 radians

c)

2/3π radians

d)

3π/2 radians

4.

If the arc length of a sector measures 6.8 inches and Θ measures π/6 what is the measure of the radius?

a)

13 inches

b)

13 radians

c)

4 inches

d)

4 radians

5.

r= 18 cm, Θ = 60°, s=? Round to the nearest tenth.

a)

1080.1 cm

b)

1080.1 rad

c)

18.8 cm

d)

18.8 rad

6.

r= 9 ft, Θ = 7π/4, s=? Round to the nearest tenth.

a)

49.5 feet

b)

49.5 radians

c)

15.8 feet

d)

15.8 radians

7.

s=20.9 meters, Θ=75°, r=? Round to the nearest tenth.

a)

4.7 radians

b)

16 meters

c)

4.7 meters

d)

16 radians

8.

If s = 14π cm and, r= 8 cm what is the measure of Θ in degrees?

(a)  

9.

If s = 95π/6 feet and Θ= 150° what is the measure of r?

(a)  

10.

If s = 39π/4 feet and Θ= 3π/4 what is the measure of r?

(a)