Question

find area of circle whose circumference is 22cm​

Answer 1

Answer:

Step-by-step explanation:

Area is 38.5cm

Answer 2

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

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• The circumference of the circle is 22 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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$\sf \: Circumference \: of \: circle = 22 \: cm \\ \\ \implies \sf2\pi \: r = 22 \: cm \\ \\ \implies \sf22 \times \dfrac{22}{7} \times r = 22 \: cm \\ \\ \implies \sf \: Radius = \dfrac{ \cancel{22} \times 7}{2 \times \cancel{22} } \\ \\ \implies \sf \: Radius = \boxed{ \bf \dfrac{7}{2} \: cm} \\ \\ \sf \pink \star \: \underline {Now:-} \\ \\ \sf \: Area \: of \: circle = \pi \: r {}^{2} \\ \\ \sf \: Area \: of \: circle = \dfrac{22}{7} \times \bigg( \dfrac{7}{2} \: cm \bigg) {}^{2} \\ \\ \sf \: Area \: of \: circle = \dfrac{ \cancel{22}}{ \cancel7} \times \dfrac{ \cancel7}{ \cancel2} \: cm \times \dfrac{7}{2} \: cm \\ \\ \sf \: Area \: of \: circle = \dfrac{11 \times 7}{2} \\ \\ \sf \: Area \: of \: circle = \dfrac{77}{2} \: cm {}^{2} \\ \\ \sf \: Area \: of \: circle = \boxed { \bf \: 38.5 \: cm {}^{2} }$

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

• The area of the circle is 38.5 cm².