The circumference of a circle is written in terms of pi by expressing it as a multiple of pi, often involving the diameter or radius of the circle.
Here's a breakdown:
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Formula: The circumference (C) of a circle is calculated using the following formulas:
- C = πd (where d is the diameter)
- C = 2πr (where r is the radius)
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Expressing Circumference in Terms of Pi: Instead of calculating the numerical value (e.g., using 3.14159 for pi), you leave 'π' in the answer. For example:
- If a circle has a diameter of 5, the circumference is 5π.
- If a circle has a radius of 3, the circumference is 6π.
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Example:
Imagine a circle with a diameter of 10. To express its circumference in terms of pi, you would simply write:
Circumference = π diameter = π 10 = 10π
Therefore, the circumference in terms of Pi is 10π.
In essence, to write the circumference in terms of pi, you perform the circumference calculation using the diameter or radius but leave the π symbol in the final answer rather than substituting a numerical value for it.
