Question

A 10" diameter pumpkin pie is cut into six equal servings. What is the approximate area of the top of each piece of pie?

Answer 1

area = PI x r^2

r = 10/2 = 5 inches

area = 3.14 x 5^2

area = 78.5 square inches

78.5 / 6 = 13.08 square inches for each piece ( round answer as needed)

Answer 2

`\text{Area of each serving}\approx 4.17\pi`

Explanation:

We have been given that a 10" diameter pumpkin pie is cut into six equal servings. We are asked to find the approximate area of the top of each piece of pie.

First of all, we will find the area of entire pie using area of circle formula.

`\text{Area of circle}=\pi r^2`, where r represents the radius of circle.

Since we know that the measure of radius is half the measure of diameter, so radius of our given pie will be:

`r=(10)/(2)=5`

Upon substituting
`r=5` in area of circle formula we will get,

`\text{Area of entire pie}=\pi* 5^2`

`\text{Area of entire pie}=25\pi`

Since the pie is cut into 6 equal servings, so area of each serving will be:

`\text{Area of each serving}=(25\pi)/(6)`

`\text{Area of each serving}=4.166666\pi\approx 4.17\pi`

Therefore, the approximate area of each piece of pie is 4.17 pi square units.