Question

What is the area of a semi-circle with a diameter of 6cm?

Answer 1

Formula for the area of a circle: A = pi * r^2

A semi-circle is half of a circle. So, we will need to divide the area of the total circle by 2 to find the area of a semi-circle.

r = d / 2

r = 6 / 2 = 3

A = pi * 9

A = 9pi

Semi-circle:

A = 9pi / 2

A = 4.5 pi cm^2 or 14.14 cm^2

Hope this helps!! :)

Answer 2

Area of the semicircle =
`14.13cm^2`

Explanation:

Area of a circle=
`\pi r^2`

Area of a semicircle=
`\pi r^2/2`

For:

Diameter=6 cm

Radius= 6/2=3 cm

As,
`\pi =(22)/(7)=3.14`

Area of the semicircle:

=
`(3.14*3*3)/2`

`=(3.14*9)/2\\\\=28.26/2\\\\=14.13cm^2`

Area of the semicircle =
`14.13cm^2`