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Please help me ASAP!!!

A circular pizza has a diameter of 16 inches. Each slice of pizza has a central of angle 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

I know that the area is 8π² I just don't know which answer choice it is.

User Daric
by
4.2k points

2 Answers

4 votes

Answer:

C. 25.1 in²

Explanation:

Hope this helps

User MeatPopsicle
by
4.0k points
5 votes

Answer:

C.

Explanation:

Radius = 16 ÷ 2 = 8


(45)/(360) *8^2*\pi =25.1 (3sf)

You can first find the total area of the circle which is
64\pi.

Then, you can find the area of the slice of the pizza, if you take the ratio of the angle it creates with the total angle of a circle (360.)

For example, a semicircle's are would be
(180)/(360) *8*\pi.

User Viraj Amarasinghe
by
4.1k points