Question

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 52 degrees.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer 1

Therefore the arc length is 11.43 ft.

Explanation:

Given:

Radius = 12.6 ft

Central angle = θ = 52°

pi = 3.14

To Find:

arc length = ?

Solution:

If the θ measured in degree then the arc length is given as

`\textrm{arc lenght}=(\theta)/(360\°)* 2\pi r`

Where r = radius, θ = Central angle

On substituting the values we get

`\textrm{arc lenght}=(52)/(360)* 2* 3.14* 12.6`

`\textrm{arc lenght}=11.4296=11.43\ ft`

Therefore the arc length is 11.43 ft.