Question

Find the area of a circle whose circumference is 264m.

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Answer 1

Step-by-step explanation:

Hope it helps................

Answer 2

$\Large{\underline{\underline{\red{\sf{Answer :}}}}}$

Given : Circumference = 264 m

To Find : Area of Circle

We have to find Area of circle.

Formula for circumference of circle is :

$\Large \implies {\boxed{\sf{Circumference\: = \: 2 \pi r}}}$

Put Values

$\rightarrow {\sf{264 \: = \: 2 \pi r}}$

Take π as 3.14

$\rightarrow \displaystyle {\sf{264 \: = \: 2(3.14)(r)}}$

$\rightarrow {\sf{264 \: = \: 6.28r}}$

$\rightarrow \displaystyle {\sf{\frac{264}{6.28} \: = \: r}}$

$\Large \longrightarrow {\boxed{\sf{Radius \: (r) \: = \: 42 \: m}}}$

$\rule{200}{2}$

Now, formula for area of Circle is :

$\Large \implies {\boxed{\sf{Area \: = \: \pi r^2}}}$

$\rightarrow {\sf{Area \: = \: 3.14 (42)^2}}$

$\rightarrow {\sf{Area \: = \: 3.14(1764)}}$

$\rightarrow {\sf{Area \: = \: 5538.96 \: m^2}}$

$\longrightarrow {\boxed{\sf{Area \: = \: 5539 \: m^2}}}$