A large pizza has a diameter of 16 inches. Which of the following is the area of the pizza in terms of pi (π)?
A.
16 πin2
B.
64 πin2
C.
32πin2
D.
256 πin2
To find the area of a pizza, which is a circle, you use the formula for the area of a circle:Area=πr2\text{Area} = \pi r^2Area=πr2
where rrr is the radius of the circle.
- Determine the radius:
- The diameter of the pizza is 16 inches.
- The radius rrr is half of the diameter: r=162=8 inchesr = \frac{16}{2} = 8 \text{ inches}r=216=8 inches
- Calculate the area:Area=πr2=π(8)2=π×64=64π square inches\text{Area} = \pi r^2 = \pi (8)^2 = \pi \times 64 = 64 \pi \text{ square inches}Area=πr2=π(8)2=π×64=64π square inches
So, the area of the pizza in terms of π is 64π64 \pi64π square inches.
The correct answer is:
B. 64 π in²