Understanding the Formula for the Radius of a Circular Path
Learn how to calculate the radius of a circular path using the formula r = C / (2π).
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To find the radius of a circular path, you can use the formula r = C / (2 * π), where r is the radius and C is the circumference of the circle. This formula rearranges the standard circumference formula (C = 2 π r) to solve for the radius.
FAQs & Answers
- What is the relationship between radius and circumference? The circumference of a circle is directly related to its radius, expressed as C = 2πr.
- How do you derive the radius formula from circumference? Rearranging the circumference formula C = 2πr to solve for r gives r = C / (2π).
- Can I use this formula for any circular shape? Yes, this formula is applicable for all circles, regardless of size.
- What units should I use for calculating the radius? Use the same units for circumference and radius to ensure consistency in calculations.