Math Problem Statement
The radius of the circle is 11 cm, and point C is the center. Find the length of the diameter and the approximate circumference of the circle. 11 cm C Radius (cm) Diameter (cm) Circumference (cm) 11
Solution
To calculate the diameter and the approximate circumference of a circle given the radius:
-
Diameter: The diameter is twice the radius.
Substituting the radius: -
Circumference: The formula for the circumference is: Using :
Final Values:
Radius (cm) | Diameter (cm) | Circumference (cm) |
---|---|---|
11 | 22 | 69.08 |
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Follow-Up Questions:
- How is the relationship between radius, diameter, and circumference derived?
- What is the exact circumference using ?
- Can you calculate the area of this circle?
- What would the circumference be if the radius were doubled?
- How can you use the circumference to approximate the area of a circle?
Tip: Always remember that is an irrational number, so calculations involving it are approximations unless left in terms of .
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle properties
Formulas
Diameter = 2 × Radius
Circumference = 2π × Radius
Theorems
Basic geometric properties of circles
Suitable Grade Level
Grades 5-7