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

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

$A=39.25+24=63.25\ ft^2$