Math, asked by jakaria2025, 11 months ago

a square metallic frame has a perimeter 132cm. It is bent in the shape of a circle. find the area of the circle​

Answers

Answered by ashuto56
20

Answer:

132*7=2*22*r

6*7/2=r

R=21

Area=22*3*21

=66*21

=1386cm Sq.

Answered by BrainlyConqueror0901
37

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\therefore{\text{Area\:of\:circle=1386\:cm}}^{2}}

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

 \green {\underline \bold{Given : }} \\   : \implies  \text{Perimeter \: of \: square = 132 \: cm} \\  \\  \red {\underline \bold{To \: Find: }} \\  :  \implies  \text{Area \: of \: circle = ?}

• According to given question :

 :  \implies  \text{Perimeter \: of \: square = Circumference \: of \: circle} \\  \\   : \implies 132 = 2\pi r \\   \\   : \implies r=  \frac{132}{2\pi}  \\   \\  :  \implies  r =  \frac{66}{\pi}\\ \\  \green{: \implies r = \frac{66}{\pi} \: cm} \\  \\ \bold{For \: Area \: of \: cicle} \\    :  \implies  Area \: of \: circle = \pi {r}^{2}  \\  \\ :  \implies  Area \: of \: circle =\pi \times  (\frac{66}{ \pi } )^{2}  \\  \\ :  \implies  Area \: of \: circle = \frac{4356}{\pi}  \\  \\ :  \implies  Area \: of \: circle = \frac{4356}{ \frac{22}{7} }  \\  \\  :  \implies  Area \: of \: circle = \frac{4356 \times 7}{22}  \\  \\ :  \implies  Area \: of \: circle =198 \times 7 \\  \\  \green{:  \implies   \text{Area \: of \: circle =1386 }{cm}^{2} }

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