Question

A birthday cake is cut into 8 slices. The arc length of one piece is 8.0 inches. What is the diameter of the cake? Round to the nearest tenth.

Answer 1

D =20 inches

Explanation:

Given that,

A birthday cake is cut into 8 slices. The arc length of one piece is 8.0 inches.

We need to find the diameter of the cake.

The circumference of a circle is given by :

`C=2\pi r`

ATQ,

`(1)/(8)* 2\pi r=8\\\\2r=(64)/(\pi)\\\\2r=20\ in`

Diameter, D = 2r

So, the diameter of the cake is equal to 20 inches.