Question

8. Find the area of the figure.

Answer 1

`\pi 6.125 cm^(2) + 24.5cm^(2)` or
`43.74225cm^(2)`

Explanation:

Formula for calculating area of a circle:

`\pi r^(2) = a`

Formula for calculating area of a triangle:

`(w * h)/(2) = a`

Formula for calculating radius from diameter:

`(d)/(2) = r`

The left figure isn't a circle but a half circle, which (that the name indicates) is half a circle, and therefor also half the area of a circle. So the formula for calculating the area of a half circle is:

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

The right figure in the image is a triangle, so we can use the triangle-area-formula above for that:

`(7cm * 7cm)/(2) = 24.5cm^(2)`

The diameter of the half circle is 7 cm which means that the radius is 3.5cm.
`(\pi 3.5cm^(2) )/(2) = \pi 6.125cm^(2)`

6.125*pi is about 19.24225 cm^2

Now we just have to add the two areas together to get the total area.

The exact answer is:

`\pi 6.125 cm^(2) + 24.5cm^(2)`

The approximate answer is:

`43.74225cm^(2)`

Hope i could help you understand!

If you have any questions, ask them in the comments below!

Have a good day (●'◡'●)