Question

Find the area of the semicircle.

Answer 1

Hi! I'm happy to help!

To solve for the area of a semi-circle, we just need to find the area of a circle, and divide it by 2.

The equation for area of a circle is A=
`\pi`r²

It says we can use 3.14 for pi, so we can write our equation like this:

A=3.14(r²)

Since we are dealing with half of a circle, we can write this as:

A=
`(1)/(2)`(3.14(r²))

Our radius is a straight line going from the edge of the circle to the center. We have the diameter, which is just the radius doubled (because it goes from the edge to the center point then back to the edge). So, we divide our diameter by 2 to get our radius.

14÷2=7

Our radius is 7, so we can plug that into our equation:

A=
`(1)/(2)`(3.14(7²))

Now all we have to do, is solve:

A=
`(1)/(2)`(3.14(49))

A=
`(1)/(2)`(153.86)

A=76.93

So, our area is 76.93 units².

I hope this was helpful, keep learning! :D