Math Problem Statement
The diameter of a circle is 11 m. Find its circumference in terms of π.
Solution
The problem states: "The diameter of a circle is 11 m. Find its circumference in terms of π."
To find the circumference of a circle using its diameter, you use the formula:
where is the diameter.
Given , the circumference in terms of is:
So the answer is .
Would you like more details or have any questions?
Relative Questions
- What is the relationship between radius and diameter?
- How do you convert circumference to radius if given in terms of ?
- What formula would you use to find the area of the circle given the diameter?
- How does the formula change if you are given the radius instead of the diameter?
- How would you express the circumference as a decimal if you substitute ?
Tip
Always remember that the diameter is twice the radius: .
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Circumference
Formulas
C = π × d
Theorems
The Circumference Theorem, where circumference is the product of pi and the diameter
Suitable Grade Level
Grades 6-8