Answered

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Find the area of the figure. Round to the nearest square inch. (Units are in inches)

Sagot :

we have that

the area of the figure is equal to the area of a right triangle plus the area of a semicircle

so

[tex]A=\frac{1}{2}\cdot b\cdot h+\frac{1}{2}\cdot\pi\cdot r^2[/tex]

where

Applying Pythagorean Theorem

Find out the base of the triangle

5^2=4^2+b^2

b^2=25-16

b^2=9

b=3 in

h=4 in

r=2 in

substitute given values

[tex]A=\frac{1}{2}\cdot3\cdot4+\frac{1}{2}\cdot\pi\cdot2^2[/tex]

A=12 in2

The area is 12 square inches

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