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:$4.71\ in.$

Step-by-step explanation:

Given

diameter of pie is $d=9\ inch$

radius $r=\frac{9}{2}=4.5\ inch$

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

$=\frac{360^{\circ}}{12}=30^{\circ}$ at the center

and crust length of single piece is

$=\frac{30}{360}\times 2\pi r$

$=\frac{1}{12}\times 2\times \pi \times 4.5$

$=2.35\ in.$

For two slice length is $2\times 2.35=4.71\ in.$

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