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If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet.

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})

             

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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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