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Find the area of a sector of the circle below. Express in terms of pie and as a decimal.

Find the area of a sector of the circle below. Express in terms of pie and as a decimal-example-1

2 Answers

7 votes

Answer:

36π (m²) or ≈ 113.14 m²

Explanation:


A_(circle) =
\pi r^(2)


A_(sector) = x


(360^o)/(40^o) =
(18^2 \pi )/(x)

9 =
(18^2 \pi )/(x)

x = 36π

or

x ≈ 36 ×
(22)/(7) 113.14 m ²

User I A Khan
by
8.0k points
6 votes


\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=18\\ \theta =40 \end{cases}\implies \begin{array}{llll} A=\cfrac{(40)\pi (18)^2}{360}\implies A=36\pi \\\\\\ A\approx 113.097 ~m^2 \end{array}

User Helderco
by
7.9k points

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