Question

Find the area of circle whose circumference is 52.8 cm
A. 221.76cm
B. 220.76cm
C. 200.76cm
​

Answer 1

2πr=52.8

r=52.8*7/22*2

r=16.8

area =22*16.8*16.8/7

area=887.04cm²

Answer 2

Answer:

Given

• $\sf \pink{Circumference \: of \: Circle \: =\purple{ \: 52.8 cm}}$
• $\sf \pink{Radius \: =\purple { \: ?}}$

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To Find

• $\sf \pink{Area \: of \: Circle\:=\purple{?}}$

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Solution

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Firstly we Find the radius of Circle .

As we know,

$\pink \implies\sf\purple {Circumference \: of \: circle \: = \: 2 {\pi}r}$

So,

$\pink\implies \sf{52.8 = 2 \times \dfrac{22}{7} \times r } \\ \\ \pink\implies \sf{52.8 = \frac{44}{7} \times r} \\ \\ \pink\implies \sf{r = \frac{52.8 \times 7}{44} } \\ \\ \pink\implies \sf{r = \frac{369.6}{44} } \\ \\ \pink\implies \sf{ r =8.4 \: cm }$

${ \boxed{\sf{ \red{Radius = 8.4 cm}}}}$

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Now We Find the Area of Circle

As we know ,

$\pink \implies\sf{\purple{Area \: of \: circle} \purple{=\pi{ {r}^{2}} }}$

So,

$\pink \implies\sf{Area = \dfrac{22}{7} } \times ( {8.4})^{2} \\ \\ \pink \implies \sf{Area = { \dfrac{22} {\cancel{7}}\times{ \cancel {8.4 }}\times 8.4 }} \\ \\ \pink\implies \sf{Area = 22 \times 1.2 \times 8.4} \\ \\ \pink \implies \sf{Area = 221.76 \: cm}$

$\large\boxed{ \sf{ \red{Area = 221.76}}}$

The Area of Circle is 221.76 cm...

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$\large\boxed{\sf{\red{Hence,\: The\: \:option\:(A)\:is \:the \:correct \:Answer.✔}}}$