# Q. 3.     If the circumference of a circular sheet is $154\; m,$ find its radius. Also, find the area of the sheet. (Take $\pi =\frac{22}{7}$)

G Gautam harsolia

It is given that  circumference of a circular sheet is  154 m

We know that

Circumference of circle is $= 2\pi r$

$\Rightarrow 154 = 2\pi r$

$\Rightarrow 154 = 2 \times \frac{22}{7} \times r$

$\Rightarrow r= \frac{49}{2}= 24.5 \ m$

Now,

Area of circle $= \pi r^2$

$\Rightarrow \frac{22}{7}\times \left ( 24.5 \right )^2 = 1886.5 \ m^2$

Therefore, the radius and area of the circle are 24.5 m and $1886.5 \ m^2$  respectively

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