Math Problem Statement
If a circle has a diameter of 10 meters, what is its circumference?
a.
20 meters
b.
30 meters
c.
31.4 meters
d.
40 meters
Solution
The circumference of a circle can be calculated using the formula:
where is the diameter of the circle and . Given the diameter meters:
Thus, the correct answer is:
c. 31.4 meters
Would you like a more detailed explanation or have other questions about this? Here are five related questions to expand your understanding:
- How would the formula change if you were given the radius instead of the diameter?
- What is the relationship between diameter and radius?
- How can you calculate the area of a circle with the same diameter?
- If the diameter were doubled, what would happen to the circumference?
- How is derived and why is it used in circle formulas?
Tip: Remember, the diameter is always twice the radius ().
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle properties
Circumference calculation
Formulas
Circumference formula: C = π × d
Theorems
Relationship between diameter and radius (d = 2r)
Constant value of π
Suitable Grade Level
Grades 6-8
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