Question

The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc

Answer 1

Area of the sector = 29.48 square miles.

Explanation:

Given:

Radius of a circle = 13 miles

Angle bounded by the arc = 20 deg

To find

Area of the sector bounded by 20 degrees.

Note: Area of a sector =
`((\theta))/(360)* \pi* r^2`

Plugging the values in the equation.

⇒
`((\theta))/(360)* \pi* r^2`

⇒
`((20)/(360))* 3.14* 13^2`

⇒
`29.48` square-miles

So the area of the sector bounded by 20 degree arc is 29.48 square miles.