Math Problem Statement
A circle has a diameter of 12 m. What is its circumference? Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Solution
To find the circumference of the circle given a diameter of , we use the formula for circumference:
Where:
- is the circumference,
- ,
- .
Now substituting the values:
The circumference of the circle is 37.68 m.
Let me know if you'd like a step-by-step breakdown or further clarification.
Here are 5 related questions:
- How is the circumference formula derived from the circle's properties?
- What is the area of a circle with the same diameter?
- If the diameter is doubled, how does the circumference change?
- Can you calculate the radius of a circle when given the circumference?
- What is the difference between diameter and radius, and how do they relate to the circle's geometry?
Tip: Remember, the diameter is always twice the radius, so you can easily switch between them depending on the problem's requirement!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle properties
Circumference calculation
Formulas
Circumference formula: C = π × d
Theorems
Relationship between diameter, radius, and circumference
Suitable Grade Level
Grades 6-8