Math Problem Statement
Find the circumference of the circle with a radius of 6 units. Round your answer to the nearest hundredth.
Solution
To find the circumference of the circle, we use the formula for the circumference of a circle, which is given by:
Where:
- is the radius of the circle.
- is approximately .
From the image, the radius of the circle is 6 units.
Now, let's calculate the circumference:
Rounded to the nearest hundredth, the circumference is approximately:
Would you like further explanation or have any questions?
Here are 5 related questions to explore further:
- What is the formula for the area of a circle, and how does it relate to the radius?
- How would the circumference change if the radius doubled?
- What is the difference between the circumference and the diameter of a circle?
- How is the concept of a circle’s circumference applied in real-life situations?
- What is the relationship between the circumference and the arc length of a circle?
Tip: When solving geometry problems, always ensure you correctly identify whether you're given the radius or diameter, as it significantly affects your calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle
Circumference
Formulas
C = 2 * π * r
Theorems
Theorem: The circumference of a circle is proportional to its radius, given by the formula C = 2πr
Suitable Grade Level
Grades 6-8