please answer asap, help me find the area
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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.