a pie has a diameter of 9 inches. each slice of pie has a central angle of 45 degrees. what is the area of each slice of pie?
If each slice of pie has a central angle of 45 degrees, that means that each slice is 45/360= 1/8 of the total pie. Now all we need to do is find the area of the pie and take 1/8 of it. Since the diameter is 9, the radius is 4.5 which means the area is (4.5)^2 * pi= 20.25pi. So your answer is 20.25pi/8= 2.53125pi= 7.952 or you can round to 8.
Hope it helps!