To find the circumference of a circle when you know its area, you can start by using the formula for the area of a circle, which is:
Area = πr²
In this case, the area is given as 300 square centimeters:
300 = πr²
To find the radius (r), we will rearrange this formula:
r² = 300 / π
Next, we can calculate r:
r = √(300 / π)
Now we can plug in the value of π (approximately 3.14) to find r:
r = √(300 / 3.14) ≈ √95.54 ≈ 9.78 cm
Now that we have the radius, we can find the circumference using the formula for the circumference of a circle:
Circumference = 2πr
Plugging in the radius:
C ≈ 2 × 3.14 × 9.78 ≈ 61.42 cm
Thus, the circumference of the circle is approximately 61.42 centimeters.