Math Problem Statement
Solution
The problem asks to find the circumference of a circle, given the radius as 2.9 inches and using . Here's how you solve it:
The formula for the circumference of a circle is:
Where is the radius of the circle. Substituting the values provided:
Let's calculate it:
Rounding this to the nearest tenth, the circumference is:
Final Answer:
The circumference of the circle is 18.2 inches.
Would you like further details on the steps or any clarifications?
Here are five related questions to deepen your understanding:
- How does changing the radius affect the circumference of a circle?
- What is the difference between circumference and diameter?
- Can you derive the area of a circle using the same value for and the radius given?
- How would the answer change if were approximated as 22/7 instead of 3.14?
- What is the ratio of the circumference to the diameter of any circle, and how is it related to ?
Tip: Always remember that circumference is a linear measurement around the circle, while area covers the space within the circle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circumference of a Circle
Formulas
C = 2πr
Theorems
-
Suitable Grade Level
Grade 6-7
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