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Mashcka [7]
4 years ago
6

the figure is made up of a semicircle and a triangle. Find the area of the figure. Use pi equals 3.14​

Mathematics
1 answer:
valentinak56 [21]4 years ago
5 0

Answer:

The area of the figure is 63.25 square feet

Step-by-step explanation:

we know that

The area of the figure is equal to the area of semicircle plus the area of triangle

step 1

Find the area of semicircle

The area of semicircle is

A_1=\frac{1}{2}\pi r^{2}

we have

r=10/2=5\ ft ----> the radius is half the diameter

\pi =3.14

substitute

A_1=\frac{1}{2}(3.14)5^{2}

A_1=39.25\ ft^2

step 2

Find the area of the triangle

The area of triangle is equal to

A_2=\frac{1}{2}bh

we have

b=8\ ft\\h=6\ ft

substitute

A_2=\frac{1}{2}(8)(6)

A_2=24\ ft^2

step 3

The area of the figure is equal to

A=A_1+A_2

substitute

A=39.25+24=63.25\ ft^2

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