High School

A circular pizza has a diameter of 16 inches. Each slice of pizza has a central angle of 45°. What is the area of each slice of pizza?

A. 3.1 in²
B. 6.13 in²
C. 25.1 in²
D. 100.5 in²

Answer :

Answer:

First, let's find the area of the whole pizza:


Area of circle = pi x r^2


r = 16 / 2


r = 8


Area of pizza = pi x 8^2 = 64pi


Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:


64pi / 8 = 8pi


The area of each slice is then 8pi in.^2

Step-by-step explanation:

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