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

Answer:

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

Answer 2

Answer:

The area of circle is 1215.18 yd²

Step-by-step explanation:

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

Formula:

$\text{Area of sector }=\dfrac{\theta}{360^\circ}\times \pi r^2$

Where,

Area of sector = 21.5π yd²

Angle of sector = 20°

$21.5\pi = \dfrac{20^\circ}{360^\circ}\times \pi r^2$

$r^2=18\times 21.5$

$r=19.67\text{ yd}$

Now we will find the area of circle.

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

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

Hence, The area of circle is 1215.18 yd²