To find the radius 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 of the circle.
- \( r \) is the radius of the circle.
- \( \pi \) (pi) is approximately 3.14159.
Given that the area \( A = 1,809.56 \) square centimeters, we can rearrange the formula to solve for the radius \( r \):
- Start with the area formula:
\[ A = \pi r^2 \]
- Substitute the known area into the equation:
\[ 1,809.56 = \pi r^2 \]
- To isolate \( r^2 \), divide both sides by \( \pi \):
\[ r^2 = \frac{1,809.56}{\pi} \]
- Now, using \( \pi \approx 3.14159 \):
\[ r^2 = \frac{1,809.56}{3.14159} \]
- Calculate the right side:
\[ r^2 \approx \frac{1,809.56}{3.14159} \approx 576.00 \]
- Now, take the square root of both sides to find \( r \):
\[ r = \sqrt{576.00} \]
- Calculate the square root:
\[ r \approx 24.00 \text{ cm} \]
Thus, the radius of the circle is approximately 24.00 centimeters.
Final Answer:
Radius = 24.00 cm.
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