Question

A carpenter cuts a circle out of a piece of wood. The radius of the circle is

about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for

Answer 1

850.53 in² is the answer

Answer 2

830.53 in²

Explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A =
`\pi`r²

Plug in 3.14 as pi, and plug in the radius:

A =
`\pi`r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²