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

Question

asked May 25, 2023 220k views

1 Answer

Uncletall · Answer 1 · 2023-05-31T18:24:03+0000

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