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.

Answer 1

This would be 21.5π * 360 / 20 yd^2  =  1215.18 yd^2 ( using pi = 3.14)

Answer 2

Answer:

The area of the circle is $1,215.18\ yd^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

$360\°$ subtends the complete circle of area $\pi r^{2}$

so

by proportion

Find the area of the complete circle if a  $20\°$ sector has an area of  $21.5\pi\ yd^{2}$

$\frac{x}{360}=\frac{21.5\pi}{20}\\ \\x=360*21.5\pi /20\\ \\x=387\pi \ yd^{2}$

$387\pi \ yd^{2}=387*3.14=1,215.18\ yd^{2}$