Question

Mrs. Child bakes pumpkin pies using a deep‐dish pie plate with a 9 inch diameter. If she cuts her pies into 12 equal slices and you eat two slices for dessert, what is the total length of the crust you have eaten?

Answer 1

Answer:
`4.71\ in.`

Explanation:

Given

diameter of pie is
`d=9\ inch`

radius
`r=(9)/(2)=4.5\ inch`

If child divides pie into 12 equal parts then each part subtends an angle of

`=(360^(\circ))/(12)=30^(\circ)` at the center

and crust length of single piece is

`=(30)/(360)* 2\pi r`

`=(1)/(12)* 2* \pi * 4.5`

`=2.35\ in.`

For two slice length is
`2* 2.35=4.71\ in.`

Thus the total length of crust eaten is
`=4.71\ in.`