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The perimeter of a semi circle is 5.14 km. What is the semi circles diameter.

User Nate Ko
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1 Answer

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Diameter of semicircle is equal to 2 km.

Step-by-step explanation:

Given: Perimeter of semicircle = P = 5.14 km

d=?

Perimeter of semicircle is given by


P = (\pi * r ) + d\\5.14 = (\pi * r ) + d\\\\Since \ d=2r; \ r=(d)/(2) \\5.14 = (\pi * (d)/(2)) + d\\

Simplifying the above equation


5.14 = ( ((\pi * d) + 2d)/(2)) \\\\5.14 * 2 = d(\pi +2)\\\\d=(5.14 * 2)/(\pi +2 )\\

As value of pi = 3.14, equation becomes


d=(5.14 * 2)/(\ 3.14 +2) = (10.28)/(5.14) =2 \ km

Diameter of semicircle is equal to 2 km.

User Lakshmanaraj
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