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High School
Geometry
High school geometry
Circles

FizeauV

Answered question

2021-09-23

Find the area of the shaded region if C and D are center

Answer & Explanation

wornoutwomanC

Skilled2021-09-24Added 81 answers

Given: C and D are the centers of circles radius of small circle = 2m
Radius of big circle $= (2 + 2) =$ 4m
Area of small circle $= π r^{2}$
$= \frac{22}{7} x {(2)}^{2}$
$= \frac{88}{7}$ square m.
$= 12 \cdot 57$ square m.
Area of big circle $= \frac{22}{7} x {(4)}^{2}$
$\frac{352}{7}$ square m.
Area of the shaded region
= Area of big circle - Area of small circle
$= \frac{352}{7} - \frac{88}{7}$
$= \frac{352 - 88}{7}$
$= \frac{264}{7}$ square m.
$\sim 37.71$ square m.

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