Answer :
Answer:
84 [tex]\pi[/tex] inches squared
Step-by-step explanation:
To solve this, we can use the formula for area of a circle:
[tex]A = \pi r^2[/tex]
Where r equals the radius of the circle.
The large circle in this case would have a radius of 9.5 inches since the diameter is 19 inches.
[tex]A = \pi (9.5^2)\\A = 90.25\pi[/tex]
The smaller circle cut from the large circle has a radius of 2.5 inches.
[tex]A = \pi (2.5^2)\\A = 6.25\pi[/tex]
Subtract the area of the smaller circle from the large circle to get the area of the remaining fabric.
[tex]A = 90.25\pi -6.25\pi \\A = 84\pi[/tex]
