Question

Find the diameter of a circle whose circumference is 66 m
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Answer 1

Step-by-step explanation:

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Answer 2

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

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• Circumference of the circle is 66 m.

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

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• The diameter of the circle = ?

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

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$\footnotesize\bold{\underline{\underline{\sf{\red{Given\: That:-}}}}}$

• Circumference (c) = 66 m

$\implies \sf \: 2\pi \: r = 66 \\ \\ \implies \sf \: 2 \times \dfrac{22}{7} \times r \\ \\ \implies \sf \: Radius = \dfrac{ \cancel{66} \times 7}{2 \times \cancel{22}} \\ \\ \implies \sf \: Radius = \dfrac{ 3 \times 7}{2} \\ \\ \implies \sf \: Radius = \dfrac{21}{2} \: m$

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

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$\leadsto \: \sf \: Diameter = 2 \times radius \\ \\ \leadsto \: \sf \: Diameter = \cancel2 \: \times \dfrac{21}{ \cancel2} \\ \\ \leadsto \sf \: Diameter = 21 \: m$

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

• The diameter of the circle is 21m.