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aleksley [76]
3 years ago
9

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?
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

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.

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