what is the radius of a circle with an area of 2300

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, and \(\pi\) is a constant approximately equal to 3.14159.

Given the area \(A = 2300\), we want to solve for \(r\). 

1. Start by rearranging the formula to solve for \(r^2\):

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

2. Substitute the given area into the formula:

\[
r^2 = \frac{2300}{\pi}
\]

3. Compute \(r^2\) using \(\pi \approx 3.14159\):

\[
r^2 \approx \frac{2300}{3.14159} \approx 732.02
\]

4. Now, take the square root of both sides to find \(r\):

\[
r \approx \sqrt{732.02} \approx 27.06
\]

So, the radius of the circle is approximately **27.06 units**.

Would you like more details on this calculation or have any questions?

Here are 5 related questions to consider:
1. How would you find the diameter of the circle from the radius?
2. What is the circumference of a circle with the same radius?
3. How does the area of a circle change if the radius is doubled?
4. What is the formula for the circumference of a circle, and how is it related to the radius?
5. How do you derive the area formula for a circle?

**Tip:** Remember that the area of a circle increases quadratically with the radius, meaning if you double the radius, the area increases by a factor of four.

Learn how to calculate the radius of a circle with an area of 2300 units using the area formula A = πr^2. This guide covers essential geometry concepts and includes a step-by-step solution. Ideal for students in Grades 9-10.

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