if the perimeter of a semicircular Park is 72m
find its area and radius
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The radius of the semi circular park is 14 meter.
The area of the semi circular park is 307.72 square meter.
Step-by-step explanation:
Given : If the perimeter of semi circular park is 72 m.
To find : The area and radius of the semi circle ?
Solution :
The perimeter of the semi circular park is P=2r+\pi rP=2r+πr
We have given, P=72
P=r(2+\pi)P=r(2+π)
72=r(2+3.14)72=r(2+3.14)
72=r(5.14)72=r(5.14)
r=\frac{72}{5.14}r=5.1472
r=14r=14
The radius of the semi circular park is 14 meter.
The area of the semi circular park is A=\frac{\pi r^2}{2}A=2πr2
A=\frac{3.14\times 14^2}{2}A=23.14×142
A=\frac{3.14\times 196}{2}A=23.14×196
A=3.14\times98A=3.14×98
A=307.72m^2A=307.72m2
Therefore, The area of the semi circular park is 307.72 square meter.
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