Question

If area of a circle is 616 cm². find the radius of a circle l.
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Answer 1

Question :-

• If the Area of circle is 616 cm² . Then find the Radius of a circle .

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Answer :-

• Radius of Circle = 14 cm .

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Explanation :-

• Here, Area of circle is given 616 cm². And, we have to calculate the Radius of Circle .

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Formula Required :-

• $\sf {Area \: of \: Circle = \pi r {}^{2} }$

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∴ According to the question :-

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$\Longrightarrow \: \: \: \sf{\pi r {}^{2} \: \: = \: \: 616 } \\ \\ \Longrightarrow \: \: \: \sf { \frac{22}{7} \times {r}^{2} \: \: = \: \: 616 } \\ \\ \Longrightarrow \: \: \: \sf{ {r}^{2} \: \: = \: \: 616 \times \frac{22}{7} } \\ \\ \Longrightarrow \: \: \: \sf{ {r}^{2} \: \: = \: \: \frac{4312}{7} } \\ \\ \Longrightarrow \: \: \: \sf{ {r}^{2} \: \: = \: \: 196 } \\ \\ \Longrightarrow \: \: \: \sf{Radius \: \: = \: \: 14 \: cm }$

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Hence :-

• Radius of Circle = 14 cm .

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