Question

A semicircle has the radius of 2 4/5. What is its area? leave your answers in term of π

Answer 1

`11(13)/(25)\pi`

Explanation:

r = Radius of semicircle =
`2(4)/(5)=(24)/(5)\ \text{units}`

Area of semicircle is given by

`A=(\pi r^2)/(2)\\\Rightarrow A=(\pi \left((24)/(5)\right)^2)/(2)\\\Rightarrow A=(288)/(25)\pi=11(13)/(25)\pi\ \text{sq. units}`

The area of the semicircle is
`11(13)/(25)\pi\ \text{sq. units}`.