Math Problem Statement
The circumference of a circle is 12.56 miles. What is the circle's diameter?
Solution
The circumference of a circle is related to its diameter by the formula:
Given that the circumference is 12.56 miles, we can find the diameter by rearranging the formula:
Substituting the given value:
So, the diameter of the circle is approximately 4 miles.
Would you like more details or have any questions? Here are some related questions you might find interesting:
- What is the radius of the circle with a circumference of 12.56 miles?
- How do you calculate the area of a circle if you know the diameter?
- If the circle's radius were doubled, what would be the new circumference?
- How is the diameter of a circle related to its area?
- What is the length of the arc subtended by a 90° angle in this circle?
Tip: Always remember, the diameter is twice the radius of a circle!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Geometry
Formulas
Circumference of a circle: C = πd
Theorems
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Suitable Grade Level
Grades 6-8
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