Question

the area of a circle is 100ñ square feet. what is the diameter?give the exact answer in simplest form.

Answer 1

The area formula for a circle is given by

`A=\pi\cdot r^2`

where A denotes the area, r the radius and Pi is equal to 3.1416. Then, we need to find the radius, which is given as

`r=\sqrt[]{(A)/(\pi)}ft`

By substituting the given values into this result, we have

`\begin{gathered} r=\sqrt[]{(100\pi)/(\pi)}ft \\ r=10ft \end{gathered}`

Since the diameter, d, is twice the radius, we get

`\begin{gathered} d=2\cdot r \\ \text{then} \\ d=2\cdot10ft \end{gathered}`

Therefore, the diameter measures 20 feet,