Question

Round your answer to the nearest hundredth.A = 8.4 in²Calculate the diameter of the circle.O 3.27 inO 4.20 inO 1.75 inO2.89 in

Answer 1

The area of a circle can be calculated as follows:

`A=\pi r^2`

Using the area given in the problem and solving for the radius r:

`\begin{gathered} A=8.4 \\ 8.4=\pi r^2 \\ (8.4)/(\pi)=r^2 \\ \sqrt{(8.4)/(\pi)}=r \\ 1.635=r \end{gathered}`

Finally, the diameter is twice the radius:

`\begin{gathered} d=2r \\ d=2*1.635 \\ d=3.27\text{ in} \end{gathered}`

Then the answer is the first option 3.27 in