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 88^º?

Solution

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