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
Remaining Attempts : 3

Answer 1

To find the diameter of a circle given its 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 can rearrange this formula to solve for the radius:

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

Substituting the given area of \( 372 \, \text{cm}^2 \):

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

Using \( \pi \approx 3.14 \):

\[
r = \sqrt{\frac{372}{3.14}} \approx \sqrt{118.086} \approx 10.86 \, \text{cm}
\]

The diameter \( d \) is twice the radius:

\[
d = 2r \approx 2 \times 10.86 \approx 21.72 \, \text{cm}
\]

Rounding to the nearest whole number gives:

\[
d \approx 22 \, \text{cm}
\]

So, the length of the diameter is approximately **22 cm**.