The diagram shows a semi circle inside a rectangle of length 150m. Calculate the perimeter
![The diagram shows a semi circle inside a rectangle of length 150m Calculate the perimeter class=](https://us-static.z-dn.net/files/dcb/1e9c9fb81e7f9b663865a1bc2bd6b600.png)
Answer:
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