Question

A 20° sector in a circle has an area of 21.5π yd². What is the area of the circle? Use 3.14 for pi. Enter your answer as a decimal in the box.

Answer 1

The correct answer is 1215.18, I just took the quiz.

Answer 2

The area of circle is 1215.18 yd²

Explanation:

A 20° sector in a circle has an area of 21.5π yd²

Formula:

`\text{Area of sector }=(\theta)/(360^\circ)* \pi r^2`

Where,

Area of sector = 21.5π yd²

Angle of sector = 20°

`21.5\pi = (20^\circ)/(360^\circ)* \pi r^2`

`r^2=18* 21.5`

`r=19.67\text{ yd}`

Now we will find the area of circle.

`\text{Area of circle }=\pi r^2`

`\text{Area of circle }=\pi \cdot 18* 21.5=1215.18\text{ yd}^2`

Hence, The area of circle is 1215.18 yd²