Question

A circle has a radius of 5. An arc in this circle has a central angle of 162º.

What is the length of the arc?

Answer 1

242

Explanation:

Answer 2

The length of the arc is 14.13 meter.

Explanation:

Given : A circle has a radius of 5. An arc in this circle has a central angle of 162º.

To find : What is the length of the arc?

Solution :

The circumference of circle is
`C=\pi d`

Radius is r=5

Diameter is d=10

Circumference is
`C=10\pi`

The angle is 162º.

The length of the arc is given by,

`l=\frac{\text{Central angle}}{360}* C`

The length of the arc is

`l=(162)/(360)* 10\pi`

`l=0.45* 10\pi`

`l=14.13`

Therefore, the length of the arc is 14.13 meter.