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zepelin [54]
3 years ago
12

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?

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

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}

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