Question

PLEASE HELP! Daniela has a rectangular yard with a pool in the shape of a semicircle. How many square feet of grass does Daniela need to cover her yard, but not the pool?

Answer 1

Answer:

Part 1) Area of rectangle $3,600\ ft^{2}$

Part 2) Area of semicircle $1,413\ ft^{2}$

Par 3) Total area of grass $2,187\ ft^{2}$

Step-by-step explanation:

we know that

The total area of grass is equal to the area of rectangle minus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

$A=45*80=3,600\ ft^{2}$

step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=60/2=30\ ft$ -----> the radius is half the diameter

substitute

$A=\frac{1}{2}(3.14)(30)^{2}$

$A=1,413\ ft^{2}$

step 3

Find the total area of grass

$3,600\ ft^{2}-1,413\ ft^{2}=2,187\ ft^{2}$