Question

Ryan makes a chocolate cake for his sister's birthday. He removes a 37.68 inch long strip of parchment paper What is the diameter of the cake?

Ryan makes a chocolate cake for his sister's birthday. He removes a 37.68 inch long strip of parchment paper from around the sides of the cake that he used to line the cake pan.

What is the diameter of the cake? Round to the nearest whole number. (Use 3.14 for pi.)

Answer 1

Circumference of Circle and Radius Diameter Relation will be used.

Explanation:

As Parchment cover will cover the whole cake along its circumference.

We know that The circumference of a circle is the distance around that circle.

Mathematically it is given by Circumference = `2pi(R)`
where `pi` = 3.14 or 22/7 (as per the specification in question)
and R = Radius of Circle.

Parchment paper is 37.68 inches which is circumference.
Upon solving
`37.68= 2 pi R`
`37.68= 2 (3.14) R`
`37.68= 6.28 R`
`6=R`
As Diameter is `D=2R`
Therefore it will be `D=2*6`
Hence answer is 12.