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33 votes
MyOpen Math ? m Find the diameter of a circle with area of 209 m2. Round your answer to the nearest tenth. ?

User Thai Ha
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1 Answer

24 votes
24 votes

We want to find the diameter of a circle which has an area = 209.

The formula to find area of a circle is:


A=\pi r^2

Where

A is the area

r is the radius

Let's find the radius, first by putting in value of Area and doing some algebra. Shown below:


\begin{gathered} A=\pi r^2 \\ 209=\pi r^2 \\ r^2=(209)/(\pi) \\ r=\sqrt[]{(209)/(\pi)} \\ r=8.156 \end{gathered}

THis is the radius.

We know

diameter is TWICE the radius, so

diameter = 2 * 8.156

diameter = 16.312

Rounding to nearest tenth (1 decimal place), we have

Diameter = 16.3 meters

User Max Tkachenko
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