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

Question

asked Feb 23, 2019 150k views

1 Answer

Nathaniel Wendt · Answer 1 · 2019-02-27T06:54:03+0000

Answer:

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.