Question

if area of semi circular field is 15400 sq m then perimeter=?​

Answer 1

Answer:

area of semicircular field = πr^2/2

15400= 22× r×r/14

r^2 = 15400× 7/11

r² = 1400×7

r² = 7×7×100×2

r = 7×10√2

r=70√2m

Answer 2

Perimeter = 509.09 m

Explanation:

Area of a semi circle field is 15400sq m

Formula for Area of Semicircle is given below:

$Area = \frac{\pi\times r^{2} }{2}$

Substituting the given Area , we will find r

$15400 = \frac{\pi\times r^{2} }{2}\\\\\Rightarrow 15400\times 2 =\pi\times r^{2} \\\\\Rightarrow 30800 =\pi\times r^{2}$

Substituting $\pi=\frac{22}{7}$

$\Rightarrow 30800=\frac{22}{7}\times r^{2}$

Cross Multiply

$\Rightarrow r^{2} =\frac{30800\times 7}{22} \\\\\Rightarrow r^{2}=9800\\\\\Rightarrow r=\sqrt{9800} \\\\\Rightarrow r=98.99$

Formula for Perimeter of Semicircle is given below:

$Perimeter=\pi r +2r$

Substituting the value of r and pi

$\Rightarrow Perimeter=\frac{22}{7} \times 98.99 +2\times 98.99\\\\\Rightarrow Perimeter = 311.11+197.98\\\\\Rightarrow Perimeter = 509.09$

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