If the circumference of a circular sheet is $ 154 \mathrm{~m} $, find its radius. Also find the area of the sheet. (Take $ \left.\pi=\frac{22}{7}\right) $
Given:
The circumference of a circular sheet is \( 154 \mathrm{~m} \).
To do:
We have to find the radius and area of the sheet.
Solution:
Let the radius of the sheet be $r$.
This implies,
$2 \pi r=154\ m$
$2\times\frac{22}{7}\times r=154$
$r=\frac{7\times7}{2}$
$r=\frac{49}{2}\ m$
Area of the sheet$= \pi r^2$
$=\frac{22}{7}\times\frac{49}{2}\times\frac{49}{2}$
$=\frac{11\times7\times49}{2}$
$=\frac{3773}{2}$
$=1886.5\ m^2$
The radius of the sheet is $24.5\ m$ and the area of the sheet is $1886.5\ m^2$.
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