Math, asked by shrinithi50, 10 months ago

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

Answers

Answered by adityastyles
16

Step-by-step explanation:

this is your ans ,see pic

Attachments:
Answered by AngeliCat
8

\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.
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