Math Problem Statement

Which formula would you use to calculate the circumference of a circle given the radius? A.C=πr2

B.C=πr2

C.C=2πr

D.C=r2π

Solution

The correct formula to calculate the circumference of a circle given the radius is:

C = 2πr

So, the correct answer is C. C = 2πr.

This formula comes from the fact that the circumference of a circle is directly proportional to its diameter, which is twice the radius (2r), and the proportionality constant is π (pi).

Would you like further details or have any questions?

Here are five questions to expand this topic:

  1. How would the formula change if you were given the diameter instead of the radius?
  2. Can you calculate the circumference of a circle with a radius of 5 cm?
  3. What is the value of π to two decimal places?
  4. How do you calculate the area of a circle?
  5. How does the circumference of a circle compare to its area for the same radius?

Tip: Remember that the diameter of a circle is always twice the radius!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle
Circumference

Formulas

C = 2πr

Theorems

Circumference Theorem (relationship between radius, diameter, and circumference)

Suitable Grade Level

Grades 5-7