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.

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!

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