How to calculate the area and crust length for a slice of pizza

Question

How to calculate the area and crust length for a slice of pizza

Information provided:

Pizza diameter is 20 inches and the central angle is 72º.

How do I solve this problem?

Answer 1

Since a slice of pizza is a sector from a circle, where you start cutting from the center, keep in mind that the central angle is also the measure of the intercepted arc. Your intercepted arc/central angle n is 72° and the radius, r is 10 inches, (the radius is half of the diameter).

Then you'll need the arc length for the length of the crust

You'll need the area of a sector for the area of the slice

*Arc Length is found by 2πr (n/360)

The area of a Sector is A =(n/360)πr²

^{*(Length of arc/Circumference) = (Degree measure of arc/360) this proportion can also be used to calculate Arc Length.}

^{I hope you find this useful, give it a try and please send me a message if you any questions}