Question

If the area of a circle is 372 cm2
, then what is the length of the diameter? Round to the nearest whole number.(1 point)
cm
R

Answer 1

To find the diameter 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. To find the radius, we can rearrange the formula:

\[
r = \sqrt{\frac{A}{\pi}}
\]

First, we substitute the given area \( A = 372 \, \text{cm}^2 \):

\[
r = \sqrt{\frac{372}{\pi}}
\]

Using \( \pi \approx 3.14 \):

\[
r = \sqrt{\frac{372}{3.14}} \approx \sqrt{118.29} \approx 10.87 \, \text{cm}
\]

Now, to find the diameter \( d \), we use the relationship:

\[
d = 2r
\]

Substituting the value of \( r \):

\[
d = 2 \times 10.87 \approx 21.74 \, \text{cm}
\]

Rounding to the nearest whole number, the diameter is:

\[
\boxed{22} \, \text{cm}
\]