Question

circumference
of a circle is 17.6 cm. Find the area of the circle.​

Answer 1

Step-by-step explanation:

this is your ans ,see pic

Answer 2

$\star\small\sf\underline\blue{Given:-}$

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• The circumference of a circle is 17.6 cm.

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$\star\small\sf\underline\blue{Find \: Out:-}$

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• The area of the circle = ?

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$\star\small\sf\underline\blue{Solution:-}$

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$\sf \: Circumference = 17.6 \: cm \\ \\ \implies \: \sf \: 2\pi \: r = 17.6 \: cm \\ \\ \implies \sf2 \times \dfrac{22}{7} \times r = 17.6 \: cm \\ \\ \therefore \sf \: Radius = \dfrac{ \cancel{17.6} \times 7}{2 \times \cancel{22}} \\ \\ \sf \: Radius = \dfrac{ \cancel{0.8}\times 7}{ \cancel2 \times \cancel{2}} \\ \\ \sf \: Radius = \dfrac{0.4 \times 7}{1} \\ \\ \sf \: Radius = 0.4 \times 7 \\ \\ \sf \: Radius = \large{\boxed{\bf\pink{2.8 \: cm}}}$

$\footnotesize\bold{\underline{\underline{\sf{\red{Therefore:-}}}}}$

$\sf \: Area \: of \: circle = \pi \: r {}^{2} \\ \\ \sf \: Area \: of \: circle = \dfrac{22}{7} \times (2.8) {}^{2} \\ \\ \sf \: Area \: of \: circle = \dfrac{22}{ \cancel7} \times \cancel{2.8}\times 2.8 \\ \\ \sf \: Area \: of \: circle =22 \times 0.4 \times 2.8 \\ \\ \sf \: Area \: of \: circle =8.8 \times 2.8 \\ \\ \sf \: Area \: of \: circle =\large{\boxed{\bf\pink{24.64\: cm {}^{2} }}}$

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$\star\small\sf\underline\blue{AnswEr:-}$

• The area of the circle is 24.64 cm².