An apple pie with a circumference of 28.26 inches is cut into 6 equal-sized pieces. Two pieces of the pie are eaten. What is the area of the pie that is left? Select the correct answer. Use 3.14 for π.

C = πd

d = C / π

d = 28.26 / 3.14

d = 9 in

but r = d/2 = 9/2 = 4.5 in

A = π r^2

= 3.14 x (4.5^2)

= 3.14 x 20.25

= 63.585

divided into 6 equal

so 63.585 / 6 = 10.5975

but ate 2, so there are 4 pieces left

4 x 10.5975 = 42.39

answer

the area of the pie that is left is 42.36 in^2

Hey user!

your answer is here ...

we know that circumference of circle = πd

given the circumference of the apple pie = 28.26 in.

therefore πd = 28.26 in.

==> 3.14 * d = 28.26 in.

==> d = 28.26/3.14

==> d = 9 in.

the diameter of the apple pie is 9 in.

therefore radius of the apple pie = 9/2 = 4.5 in.

area of the apple pie = πr²

= = 3.14 * 4.5 * 4.5

= 63.585 in²

it's divided into 6 equal parts and two pieces are eaten. so the area of leftover pie = 63.585/6 * 4

= 63.585/3 * 2

= 21.195 * 2

= 42.39 in²

cheers!