Math Problem Statement
Find the circumference of the circle. The radius is 6 yards. Leave your answer in terms of π.
Solution
The problem asks for the circumference of a circle, where the radius is given as .
The formula for the circumference of a circle is:
Where is the radius of the circle. Substituting :
Thus, the circumference is .
Would you like further details or have any questions?
Here are some related questions you might explore:
- What is the area of the circle with the same radius of 6 yards?
- How does the circumference change if the radius is doubled?
- How would you calculate the diameter of the circle using the given radius?
- If the radius is given in meters, how would you convert it to yards before calculating the circumference?
- How would the formula for circumference change for an ellipse?
Tip: Always ensure you're using the correct units for radius or diameter before applying formulas for circumference.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circumference of a Circle
Formulas
C = 2πr
Theorems
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Suitable Grade Level
Grades 6-8