Question

Find the arc length of a central angle of 90° in a circle whose radius is 4 inches.

Answer 1

The arc length of a central angle is 6.28 inches.

Explanation:

Given : A central angle of 90° in a circle whose radius is 4 inches.

To find : The arc length of a central angle?

Solution :

The formula to find arc length is given by,

`\text{Arc length}=\text{Radius}* \text{Angle}^\circ * (\pi)/(180)`

We have given,

Radius = 4 inches

The central angle = 90°

Substitute the value in the formula,

`\text{Arc length}=4* 90 * (\pi)/(180)`

`\text{Arc length}=2\pi`

`\text{Arc length}=6.28`

Therefore, The arc length of a central angle is 6.28 inches.