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Understanding the Relationship Between Diameter and Circumference of a Circle

Learn why the diameter isn't half the circumference using the formula C = πd in this informative Q&A.

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Video transcript

No, the diameter of a circle is not half the circumference. The circumference (C) is found using the formula C = πd, where d is the diameter. So, the diameter is the circumference divided by π. For example, if the circumference is 31.4 units, the diameter would be 31.4/π ≈ 10 units.

Questions and answers

  1. What is the formula for the circumference of a circle?

    The formula for the circumference (C) of a circle is C = πd, where d is the diameter.

  2. How do you calculate the diameter from the circumference?

    To calculate the diameter from the circumference, divide the circumference by π (pi).

  3. What is the difference between diameter and radius?

    The diameter is twice the radius; it measures the distance across the circle through its center.

  4. Why is π important in circle measurements?

    π (pi) is a constant that relates the diameter of a circle to its circumference and is essential for various calculations in geometry.

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