Question

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

Answer 1

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.