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In a circle, I 90° sector has an area of 36 pi inches squared what is the radius of the circle

User Voyager
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2 Answers

2 votes
im not sure but i think its 6. sorry if its wrong : (
User Jounathaen
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4 votes

Answer: 12 inches

Explanation:

Given: In a circle , the area of a sector =
36 \pi\text{ inches}

Measure of Arc
\theta=90^(\circ)

The formula to calculate the area of the sector is given by:-


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

Substitute area and angle in the formula, we get


36\pi=(90^(\circ))/(360^(\circ))*\pi r^2\\\\\Rightarrow36\pi=(1)/(4)*\pi r^2\\\\\Rightarrow\ r^2=36*4\\\\\Rightarrow r^2=144\\\\\Rightarrow\ r=12\ \text{ inches}

Hence, the radius of the circle = 12 inches.

User Rivare
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