Calculating the Diameter and Radius of a Circle with Circumference 12.56 cm



Understanding the Problem:
- The circumference of a circle is the distance around its outer edge.
- To find the diameter and radius of a circle when given the circumference, we need to use mathematical formulas.



Finding the Diameter:
- The formula to find the diameter of a circle from its circumference is: Diameter = Circumference / π
- Given that the circumference is 12.56 cm, we can plug this value into the formula: Diameter = 12.56 cm / 3.14
- Calculating, we get: Diameter ≈ 4 cm



Finding the Radius:
- The radius of a circle is half of its diameter.
- Using the diameter we calculated earlier, we can find the radius: Radius = Diameter / 2
- Substituting the value of the diameter we found: Radius = 4 cm / 2
- Therefore, the radius of the circle is 2 cm.



Conclusion:
- The diameter of the circle with a circumference of 12.56 cm is approximately 4 cm, and the radius is 2 cm. This calculation is based on the relationship between the circumference, diameter, and radius of a circle.