What will be the area of a semi-circle whose | vedclass

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(D) The perimeter of a semi-$circle$ is given by the formula $P = \pi r + 2r$,where $r$ is the radius.Given $P = 36 \, cm$,we have $(\pi + 2)r = 36$.S

Vedclass · Accepted Answer

$77$

Vedclass · Answer

(D) The perimeter of a semi-$circle$ is given by the formula $P = \pi r + 2r$,where $r$ is the radius.Given $P = 36 \, cm$,we have $(\pi + 2)r = 36$.Substituting $\pi = \frac{22}{7}$,we get $(\frac{22}{7} + 2)r = 36$.$(\frac{22 + 14}{7})r = 36 \implies \frac{36}{7}r = 36$.Thus,$r = 7 \, cm$.The area of a semi-$circle$ is given by $A = \frac{1}{2} \pi r^2$.$A = \frac{1}{2} 	imes \frac{22}{7} 	imes 7^2 = \frac{1}{2} 	imes 22 	imes 7 = 11 	imes 7 = 77 \, cm^2$.

What will be the area of a semi-$circle$ whose perimeter is $36 \, cm$? (in $cm^2$)

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