Question

The radius of a semicircle is 4 yards. What is the semicircle's area?

Answer 1

About 25.13 yards^2

Explanation:

The area of a semicircle can be found using the following formula:

`a=(\pi r^2)/(2)`

We know that the radius is 4 yards. Therefore, we can substitute 4 yards in for r.

`a=(\pi (4 yards)^2)/(2)`

First, evaluate the exponent.

(4 yards)^2=4 yards *4 yards= 16 yards^2

`a=(\pi * 16 yards^2 )/(2)`

Multiply pi and 16 yards^2.

`a=(50.2654825 yards^2)/(2)`

Divide 50.2654825 yards^2 by 2.

`a=25.1327413 yards^2`

Rounded to the nearest hundredth:

`a=25.13 yards^2`

The area of the semicircle is about 25.13 square yards.

Answer 2

25.135

Explanation:

Use the formula
`\pi r^2` to find the area of the circle and then divide it in half.