Math Problem Statement
Solution
This problem asks about the ratio of the circumference of a circle to its diameter when the radius is given as .
The formula for the circumference of a circle is:
The diameter of a circle is:
To find the ratio of the circumference to the diameter, we divide the circumference by the diameter:
So, the correct answer is:
(B) .
Would you like further details or have any questions on this? Here are some related questions:
- What is the relationship between the radius and the circumference of a circle?
- How is the diameter of a circle related to its radius?
- What is the formula for the area of a circle?
- How do you derive the formula for the circumference of a circle?
- What is the significance of in circle-related formulas?
Tip: Remember that in any circle, the ratio of the circumference to the diameter is always , which is approximately 3.1416.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Ratios
Formulas
Circumference formula: C = 2πr
Diameter formula: D = 2r
Theorems
The ratio of the circumference to the diameter of any circle is π
Suitable Grade Level
Grades 6-8
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