Question

Alicia is sewing a rectangle bedspread that measures 72 inches by 60 inches. The bedspread is red with a gold circle 18 inches in diameter in the center. To the nearest square inch, what is the area of the bedspread that is red?

Answer 1

Answer:

$4,066\ in^{2}$

Step-by-step explanation:

we know that

The area of the bedspread that is red is equal to the area of rectangle minus the area of the circle

step 1

Find the area of rectangle

The area is equal to

$A=72*60=4,320\ in^{2}$

step 2

Find the area of the circle

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ----> the radius is half the diameter

assume

$\pi=3.14$

substitute

$A=(3.14)(9)^{2}$

$A=254.34\ in^{2}$

step 3

Find the area of the bedspread that is red

Find the difference of the areas

$4,320\ in^{2}-254.34\ in^{2}=4,066\ in^{2}$