Question

If the perimeter of a semi - circular park is 72 metre, find its area and radius

Answer 1

perimeter of a semi - circular park = 72
perimeter of circle=2πr
perimeter of a semi - circle=1/2×2πr
perimeter of a semi - circle=πr
72=22/7×radius
72×7/22=radius
22.9meter =radius
area of semi circle= 1/2π${r}^{2}$
area of semi circle= 1/2×22/7×π${22.9}^{2}$
area of semicircle=824.07π${m}^{2}$


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Answer 2

$\huge \mathfrak {Answer:-}$

Given:

Perimeter $=72m$

Let 'r' be the radius of a circle.

$\frac{2\pi \: r}{2} + 2r = 72$

$\pi \: r + 2r = 72$

$r = \frac{72}{\pi} + 2$

$r = \frac{72}{ (\frac{22}{7} + 2) }$

$r = 14m$

Now,

Area of circle

$= \frac{\pi \: r^{2} }{2}$

$= \frac{ \frac{22}{7} \times 14 \times 14 }{2}$

$= 308m^{2}$

Therefore,

The area and radius of circular park is $308m ^{2}$and$\:14m.$

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