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

the figure is made up of a semicircle and a triangle. Find the area of the figure-example-1

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3 votes

Answer:

The area of the figure is 63.25 square feet

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=(1)/(2)\pi r^(2)

we have


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


\pi =3.14

substitute


A_1=(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=(1)/(2)bh

we have


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

substitute


A_2=(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

User Debanik Dawn
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