Question

2. A circle has an area of 100 square centimeters. Find its radius.

Answer 1

5.64 centimeters

Step-by-step explanation

the area of a circle is given by:

`\begin{gathered} A=\pi r^2 \\ \text{where r is the radius} \end{gathered}`

then

Step 1

Let

`\begin{gathered} \text{Area}=A=100(cm^2) \\ \text{radius}=\text{ r} \end{gathered}`

now, replace in the formula and solve for r

`\begin{gathered} A=\pi r^2 \\ 100(cm^2)=\pi r^2 \\ \text{divide both sides by }\pi \\ (100(cm^2))/(\pi)=(\pi r^2)/(\pi) \\ (100(cm^2))/(\pi)=r^2 \\ \text{take the square root in both sides} \\ \sqrt[]{(100(cm^2))/(\pi)}√(=r^2) \\ 5.64\text{ (cm)=r} \end{gathered}`

therefore, the radius is

5.64 centimeters

I hope this helps you