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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.

User Pynchia
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2 Answers

1 vote

Answer:

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

User Smajlo
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7 votes

Answer:

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

User Bnsmith
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