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Answer:

54.  461.58 sq. ft.

55.  4.52 sq. ft.

Step-by-step explanation:

54.

The figure is 3/4th of a full circle. We can find the area of the whole circle and multiply that by [tex]\frac{3}{4}[/tex] to get our answer.

The area of a circle is given by:

[tex]\pi r^2[/tex]

Where r is the radius

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

[tex]A=\pi r^2\\A=(3.14)(14)^2\\A=615.44[/tex]

The area of this figure is:

[tex](\frac{3}{4})*615.44\\=461.58[/tex]

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:

[tex]A=\pi r^2[/tex]

Where

A is area

r is radius

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

So the area is:

[tex]A=\pi r^2\\A=(3.14)(1.2)^2\\A=4.52[/tex]

The area of figure is 4.52 sq. ft.

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