Question

Please answer asap, help me find the area

Answer 1

54. 461.58 sq. ft.

55. 4.52 sq. ft.

Explanation:

54.

The figure is 3/4th of a full circle. We can find the area of the whole circle and multiply that by
`(3)/(4)` to get our answer.

The area of a circle is given by:

`\pi r^2`

Where r is the radius

The figure shows a radius of 14 feet, so we replace r with 14 and find the area (A):

`A=\pi r^2\\A=(3.14)(14)^2\\A=615.44`

The area of this figure is:

`((3)/(4))*615.44\\=461.58`

The area is 461.58 sq. ft.

55.

The figure consists of 2 semicircle with diameter 2.4 shown.

The radius is half of diameter, so the radius (r) is:

r = 2.4/2 = 1.2 ft

The two semicircles match up together to form 1 whole circle. The area of a circle is given by:

`A=\pi r^2`

Where

A is area

r is radius

This figure's area is area of whole circle with radius 1.2

So the area is:

`A=\pi r^2\\A=(3.14)(1.2)^2\\A=4.52`

The area of figure is 4.52 sq. ft.