Find the area of the shaded region if C and

FizeauV 2021-09-23 Answered
image Find the area of the shaded region if C and D are center

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Expert Answer

wornoutwomanC
Answered 2021-09-24 Author has 8112 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 \(\displaystyle=\pi{r}^{{2}}\)
\(\displaystyle={\frac{{{22}}}{{{7}}}}{x}{\left({2}\right)}^{{2}}\)
\(\displaystyle={\frac{{{88}}}{{{7}}}}\) square m.
\(\displaystyle={12}\cdot{57}\) square m.
Area of big circle \(\displaystyle={\frac{{{22}}}{{{7}}}}{x}{\left({4}\right)}^{{2}}\)
\(\frac{352}{7}\) square m.
Area of the shaded region
= Area of big circle - Area of small circle
\(\displaystyle={\frac{{{352}}}{{{7}}}}-{\frac{{{88}}}{{{7}}}}\)
\(\displaystyle={\frac{{{352}-{88}}}{{{7}}}}\)
\(\displaystyle={\frac{{{264}}}{{{7}}}}\) square m.
\(\displaystyle\sim{37.71}\) square m.

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