Understanding the Relationship Between Radius and Circumference in Circles

Learn why the radius is not half the circumference, but rather half the diameter of a circle.

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No, the radius is not half the circumference. Instead, the radius (r) is half the diameter (d). The relationship between circumference (C) and radius is C = 2πr. For calculating the circumference given the radius, you multiply the radius by 2π.

FAQs & Answers

  1. What is the formula for circumference? The formula for the circumference of a circle is C = 2πr, where r is the radius.
  2. What is the difference between radius and diameter? The diameter is twice the radius; it is the longest distance across the circle, passing through the center.
  3. How do you find the radius if you know the circumference? To find the radius from the circumference, use the formula r = C / (2π).
  4. Can circumference be calculated using diameter? Yes, the circumference can also be calculated using the diameter with the formula C = πd, where d is the diameter.

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For more insights into geometry, check out our other videos on circle properties and formulas, including diameter calculations and area of circles.

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