Math Problem Statement
What is the circumference
What is the circumference of a circle with a radius of 5 inches?
Solution
The image shows a circle with a radius of 5 inches. To calculate the circumference of a circle, we use the formula:
where:
- is the circumference,
- is approximately 3.1416,
- is the radius of the circle (which is given as 5 inches).
Substituting the value of :
Thus, the circumference of the circle is approximately 31.42 inches.
Would you like more details, or do you have any further questions?
Here are five related questions to expand your understanding:
- What is the area of this circle?
- How would the circumference change if the radius were doubled?
- How can we calculate the diameter using the radius?
- What is the relationship between the diameter and circumference?
- How does the circumference change if the radius is reduced by half?
Tip: Always ensure to use consistent units in your calculations, especially in geometry problems like this one where length units are crucial.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Circumference
Formulas
Circumference formula: C = 2πr
Theorems
Properties of circles
Circumference theorem
Suitable Grade Level
Grades 6-8