3. For each of the following, if a circle has the dimensions given, de circumference: a. 6 cm diameter b. 3 cm radius C. cm radius T d. 67 cm diameter

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem 3: Circumference of a Circle**

Determine the circumference of a circle for each of the following dimensions:

a. Diameter: 6 cm  
b. Radius: 3 cm  
c. Radius: \(\frac{3}{\pi}\) cm  
d. Diameter: \(6\pi\) cm  

**Notes for students:**

- Recall that the circumference \(C\) of a circle can be calculated using the formula:
  \[ C = 2\pi r \]
  when the radius \(r\) is given.

- Alternatively, if the diameter \(d\) is provided, use the formula:
  \[ C = \pi d \]
Transcribed Image Text:**Problem 3: Circumference of a Circle** Determine the circumference of a circle for each of the following dimensions: a. Diameter: 6 cm b. Radius: 3 cm c. Radius: \(\frac{3}{\pi}\) cm d. Diameter: \(6\pi\) cm **Notes for students:** - Recall that the circumference \(C\) of a circle can be calculated using the formula: \[ C = 2\pi r \] when the radius \(r\) is given. - Alternatively, if the diameter \(d\) is provided, use the formula: \[ C = \pi d \]
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