Delilah and her family have 3/4 of a pie remaining. The pie has a diameter of 8 inches. What is the area of pie remaining? Give an exact answer.
First, we need to find the area of the whole pie using the formula for the area of a circle, which is A = πr^2, where r is the radius of the circle.
Given the diameter of the pie is 8 inches, the radius would be half of that, so r = 8/2 = 4 inches.
Now, we can calculate the area of the whole pie:
A = π(4)^2
A = 16π square inches
Since Delilah and her family have 3/4 of the pie remaining, we can find the area of the remaining pie by multiplying the area of the whole pie by 3/4:
Area remaining = (3/4) * 16π
Area remaining = 12π square inches
Therefore, the area of the pie remaining is 12π square inches.