Question

Find the area of a semicircle

Answer 1

Answer:

18pi, or 56.52

Step-by-step explanation:

To start off, if you were to find the area of any whole circle, you would use the formula: pi x radius^2 = area of circle

However, since this is a semi-circle (half of a whole circle) you would divide the whole expression by 2, and then solve:

(pi x radius^2)/2 = area of semi-circle

(pi x 6^2)/2 = area of semi-circle

(36 x pi)/2 = area of semi-circle

18 x pi = area of semi-circle

18 x 3.14 = area of semi-circle

56.52 = area of semi-circle

Answer 2

The area of a circle is

$\pi \: {r}^{2}$

So the area of a semicircle would be half of that, or

$\frac{\pi}{2} {r}^{2}$

So just plug in the radius, six, to get this

$18\pi$