Question

A U.S. quarter has a diameter of about 24 millimeters. What is the area of one side of a quarter to the nearest square millimeter? Use 3.14 as an approximation for .The area of one side of a U.S. quarter is approximately _____square millimetersThe Solution is ___________

Answer 1

Step 1

Since a U.S quarter is a circular coin write the expression for the area of a circle

$\text{The area of a circle = }\pi r^2$

Where

$\begin{gathered} \pi=3.14 \\ Radius=\frac{\text{diameter}}{2}=\frac{24}{2}=12\operatorname{mm} \end{gathered}$

Step 2

Find the area of 1 side of a quarter to the nearest square mm

$\begin{gathered} A=\text{ 3.14}\times12^2 \\ A=452.16\operatorname{mm} \end{gathered}$

Hence, to the nearest square millimeter the area of one side of the quarter = 452 square millimeter