The diagram shows a semi circle inside a rectangle of length 150m. Calculate the perimeter

Approximately 268m

Step-by-step explanation:

In this diagram a semi circle is drawn inside a rectangle of length 150m.

Length of diameter of a semicircle = 150 m

So radius of the semicircle = 150/ 2 = 75m

We have to find the perimeter of the shaded region.

Perimeter of the shaded region = length of tangents drawn on the circle at A and B + m(arc AB)

Length of tangents = radius of the semi circle = 75 m

and m(arc AB) = Perimeter of a circle/ 4 = (2 x pi x r) / 4

= 2 x pi x 75 / 4

= 471 / 4

= 117.75 m

Now Perimeter of the shaded region = 75 + 75 + 117.75

P = 267.75 ≈ 268 m

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