Find the radius of a circle with the area 4.3 m2. Round your answer to one decimal place.

1. Break Down the Problem

To find the radius of a circle given the area, we can use the formula for the area of a circle:

$A = \pi r^2$

where $A$ is the area and $r$ is the radius. We need to rearrange the formula to solve for $r$.

2. Relevant Concepts

Rearranging the area formula for $r$:

$r = \sqrt{\frac{A}{\pi}}$

3. Analysis and Detail

Substituting the given area $A = 4.3 \, m^2$:

$r = \sqrt{\frac{4.3}{\pi}}$

Using an approximate value for $\pi \approx 3.14$:

$r \approx \sqrt{\frac{4.3}{3.14}} \approx \sqrt{1.368}$

Now, calculating the square root:

$r \approx 1.17 \, m$

4. Verify and Summarize

We round our answer to one decimal place:

$r \approx 1.2 \, m$

Final Answer

The radius of the circle is approximately 1.2 m.