Question

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.

Answer 1

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!!

Answer 2

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