Delilah and her family have 34 of a pie remaining. The pie has a diameter of 8 inches. What is the area of pie remaining? Give an exact answer.
First, let's find the total area of the entire pie using the formula for the area of a circle:
A = πr^2
Given that the diameter of the pie is 8 inches, the radius (r) would be half of the diameter, so r = 8/2 = 4 inches.
Plugging in the value of the radius into the formula, we get:
A = π(4)^2
A = π(16)
A = 16π inches^2
Now, if Delilah and her family have 34 of the pie remaining, the area of the remaining pie would be:
Remaining area = 16π - 34
Remaining area = 16π - 34
Therefore, the area of the pie remaining is 16π - 34 square inches.