Math Problem Statement
Pi is known as the ratio of circumference to diameter. Circumference is about 3 times its diameter. What is the circumference of the circle below if the diameter is 4 cm?
Solution
In the image you provided, the question is asking for the circumference of a circle, given that the diameter is 4 cm. The formula for the circumference of a circle is:
Where:
- is the circumference,
- is the diameter, and
- (pi) is approximately 3.14.
So, using the given diameter of 4 cm:
Thus, the circumference of the circle is approximately 12.56 cm.
Would you like more details or have any further questions about this? Here are some related questions:
- How do you calculate the area of a circle if given the radius?
- What is the relationship between the radius and diameter of a circle?
- How does the circumference formula change when using a different approximation for pi?
- What is the significance of pi in other geometric formulas?
- How would you calculate the circumference if the radius is provided instead of the diameter?
Tip: Always ensure to use a value of pi that is appropriate for your level of precision (for everyday calculations, 3.14 is often enough, but for higher precision, using a more exact value may be needed).
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Pi (π)
Circumference
Formulas
C = π × d
Theorems
Definition of Pi
Suitable Grade Level
Grade 7