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12 votes
12 votes
R=12 inches, θ=30°, A=?6.28 in ^ 275.36 in ^ 23.14 in ^ 237.68 in ^ 2

User Arata
by
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1 Answer

8 votes
8 votes

Given:

The radius = r = 12 inches

And the angle θ = 30°

We will find the area of the given sector of the circle

we will use the following formula:


A=(\theta)/(360\degree)\cdot\pi r^2

Substitute with (r) and (θ):


A=(30)/(360)\cdot3.14\cdot12^2=37.68\text{ in\textasciicircum{}2}

So, the answer will be option 4) 37.68 in²