Math Problem Statement
C = 2πr for r.
Solution
The image shows the equation for the circumference of a circle:
Where:
- is the circumference of the circle.
- is the radius of the circle.
- (pi) is a mathematical constant approximately equal to 3.14159.
This formula is used to calculate the distance around a circle (its circumference) given its radius .
Would you like to explore details on how this formula is derived or see specific examples of using it?
Here are 5 questions that might deepen your understanding:
- How do you calculate the circumference if you know the diameter of the circle instead of the radius?
- What is the relationship between the radius and the diameter of a circle?
- How would the formula change if you wanted to calculate the area of the circle?
- How can you use this formula to find the radius if the circumference is known?
- How does this formula apply in real-world problems, such as determining the length of a track?
Tip: If you know the diameter of a circle, you can use the formula , since .
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Math Problem Analysis
Mathematical Concepts
Geometry
Circumference of a Circle
Formulas
C = 2πr
Theorems
Circumference of a Circle
Suitable Grade Level
Grades 6-8