To find the radius of a circle when you know its circumference, you can use the formula that relates the two. The circumference (C) of a circle is given by the formula:
- C = 2πr
Where:
- C is the circumference
- π (pi) is a constant approximately equal to 3.14159
- r is the radius of the circle
To find the radius, you can rearrange this formula. Here are the steps:
- Start with the circumference formula: C = 2πr
- To isolate r, divide both sides by 2π: r = C / (2π)
Now you can simply plug in the value of the circumference into this formula to calculate the radius. For example, if the circumference of a circle is 31.4 units, you would calculate:
- r = 31.4 / (2 × 3.14159) ≈ 5 units
Thus, by using the circumference, you can effectively determine the radius of the circle!