Math Problem Statement

C = 2pie r for r

Solution

To solve for rr in the equation C=2πrC = 2\pi r, follow these steps:

  1. Start with the equation:
    C=2πrC = 2\pi r
  2. To isolate rr, divide both sides by 2π2\pi:
    r=C2πr = \frac{C}{2\pi}

Thus, r=C2πr = \frac{C}{2\pi}.

Would you like a more detailed explanation or any additional help?

Here are five related questions:

  1. How do you calculate the circumference if the radius is given?
  2. What is the value of π\pi and why is it important in these formulas?
  3. How does the formula for circumference relate to the area of a circle?
  4. What happens to the radius if the circumference doubles?
  5. Can you derive the area of a circle using the formula for circumference?

Tip: Remember, the circumference formula C=2πrC = 2\pi r is specific to circles, and π\pi is a constant approximately equal to 3.14159.

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Math Problem Analysis

Mathematical Concepts

Algebra
Geometry
Circle properties

Formulas

C = 2πr

Theorems

Circumference of a Circle

Suitable Grade Level

Grades 6-8