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

1 answer

To find the diameter of a circle from 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. Given that the area \( A = 372 , \text{cm}^2 \), we can rearrange the formula to solve for the radius:

\[ r^2 = \frac{A}{\pi} \]

Substituting the given area:

\[ r^2 = \frac{372}{\pi} \approx \frac{372}{3.14159} \approx 118.490 \]

Now, take the square root to find the radius:

\[ r \approx \sqrt{118.490} \approx 10.9 , \text{cm} \]

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

\[ d = 2r \approx 2 \times 10.9 \approx 21.8 , \text{cm} \]

Rounding to the nearest whole number, the length of the diameter is:

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