Math Problem Statement
The radius of a circle measures
6ft
. What is the circumference of the circle?
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 a circle, the formula is:
Where:
- is the circumference,
- is approximately 3.14,
- is the radius of the circle.
Given that the radius is 6 feet, we can substitute into the formula:
Calculating:
Thus, the circumference of the circle is 37.68 feet.
Would you like further details or explanations?
Here are five related questions:
- What is the area of the circle with a radius of 6 feet?
- How does the circumference change if the radius is doubled?
- How can we find the diameter of the circle, and how does it relate to the circumference?
- What would the circumference be if we used a more precise value of ?
- How does the formula for the circumference of a circle compare to the formula for the perimeter of other shapes?
Tip: Remember that the diameter of a circle is always twice the radius!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circumference of a Circle
Formulas
Circumference formula: C = 2πr
Theorems
The circumference theorem states that the circumference of a circle is proportional to its radius, with the constant of proportionality being 2π.
Suitable Grade Level
Grades 6-8