Question

Irma has a round box of creme-filled chocolates. After measuring the box, she calculates that it has an area of 21.2264 square inches. What is the box's circumference?

Answer 1

Given the area = 21.2264

The shape in question is a circle.

Recall that the area of a circle is given as;

`\begin{gathered} A=\pi* r^2=21.2264 \\ \\ \Rightarrow r^2=(21.22264)/(\pi) \\ \\ \Rightarrow r=\sqrt[]{(21.2264)/(\pi)}=2.6 \end{gathered}`

Now that we know the radius, The circumference of a circle is given as;

`C=2*\pi* r=2*\pi*2.6=16.33\text{ inches}`