Question

The curved part of this figure is a semicircle.

What is the best approximation for the area of this figure?


10.5+7.25π units²

21+7.25π units²

10.5+14.5π units²

21+14.5π units²

Answer 1

A) 10.5+7.25
`\pi`units²

Explanation:

This can be divided into a semicircle and a right triangle.

The area of the right triangle is (1/2)(7)(3)= 10.5

the radius of the semicircle is

`d=\sqrt{7^(2) +3^(2) } )=√((49+9)) =√(58)`

`r=(1/2)(√(58)`

`A=(1/2\pi (1/2)(\sqrt{58)^(2) }`

`A=58\pi /8`

`A=7.25\pi`

`---------`

hope it helps..

have a great day!!