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:
- How would the formula change if you were given the diameter instead of the radius?
- Can you calculate the circumference of a circle with a radius of 5 cm?
- What is the value of π to two decimal places?
- How do you calculate the area of a circle?
- 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