RogelioN639847 RogelioN639847
  • 25-10-2022
  • Mathematics
contestada

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

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HeraY302482 HeraY302482
  • 25-10-2022

The area of a circle can be calculated as follows:

[tex]A=\pi r^2[/tex]

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

[tex]\begin{gathered} A=8.4 \\ 8.4=\pi r^2 \\ \frac{8.4}{\pi}=r^2 \\ \sqrt{\frac{8.4}{\pi}}=r \\ 1.635=r \end{gathered}[/tex]

Finally, the diameter is twice the radius:

[tex]\begin{gathered} d=2r \\ d=2*1.635 \\ d=3.27\text{ in} \end{gathered}[/tex]

Then the answer is the first option 3.27 in

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