# FINDING THE ARC LENGTH OF A CIRCLE WORKSHEET

Problem 1 :

Find the length of arc AB.

Solution

Problem 2 :

The diameter is 24 cm. Find the length of are CD.

Solution

Problem 3 :

The length of arc EF is 5π in. Find the length of the radius.

Solution

Problem 4 :

Find the length of arc XY.

Find each measure. Give answers in terms of π and rounded to the nearest hundredth.

Solution

Problem 5 :

Area of sector LQM

Solution

Problem 6 :

Length of arc ND

Solution

Problem 7 :

The gear of a grandfather clock has a radius of 3 in. To the nearest tenth of an inch, what distance does the gear cover when it rotates through an angle of 88º?

Solution

1)  length of arc AB is 12.55 cm.

2)  length of arc CD is 12.56 cm.

3)  length of arc EF is 30.120 cm.

4)  the length of arc XY is 11.55 cm.

5)  area of the sector is 23.55 in2.

6)  length of arc NP is 7.85 in.

7)  4.6 in.

If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.

Problem 1 :

s = 6.24 meters, θ = 2.6 radians, r =?

Solution

Problem 2 :

r = 2/3 feet, s = 14 feet, θ =?

Solution

Find the length s. Round the answer to three decimal places.

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

For a circle of radius 4 feet, find the arc length s subtended by central angle 60˚. Round to the nearest hundredth.

Solution

Problem 7 :

A pendulum swings though an angle of 30˚ each second. If the pendulum is 35 inches long. How far does its tip move each second? If necessary, round the answer to two decimal places.

Solution

1)  r = 2.4 m

2)  r = 21 radians

3)  7.854 yd

4)  2.88 cm

5)  1.745 m

6)  4.19 ft

7)  18.3 inches

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