The area of the figure is 644 square inches.
Given,
Figure : triangle + 3 semicircles
We need to find the area of the figure.
What are the area of a triangle and a circle?
Area of a circle: 1/2 x base x height
Area of a circle: [tex]\pi[/tex]r²
Find the area of the triangle.
We have,
Base = 20 in
Height = 17.3 in
Area = 1/2 x base x height
= 1/2 x 20 x 17.3
= 1 x 10 x 17.3
= 173 square inches
Find the area of a circle
We have,
radius = 10 in
Area = [tex]\pi[/tex] x 10²
= 3.14 x 100
= 314 square inches
Find the area of a semicircle
= area of circle / 2
= 314/2
= 157 square inches
Find the area of the figure
= area of the triangle + 3 x area of the semicircle
= 173 + 3 x 157
= 173 + 471
= 644 square inches.
Thus the area of the figure is 644 square inches.
Learn more about the area of combined figures here:
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