Question

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

Answer 1

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`