In this question, you're asked to find the circumference of a circle with a given diameter, and you should express the answer in terms of π.

Solution

1. Identify the diameter: The diameter of the circle is given as 6 yards (yd).
2. Formula for circumference: The circumference $C$ of a circle is given by: $C = \pi \times \text{diameter}$
3. Substitute the diameter: $C = \pi \times 6 = 6\pi$

So, the circumference in terms of π is: $C = 6\pi$

Would you like further details on why this formula works or have any other questions?

Related Questions to Expand Understanding

1. How would you find the area of this circle in terms of π?
2. If the radius was given instead of the diameter, how would you adjust the formula for circumference?
3. What would the circumference be if the diameter were doubled?
4. How would you convert this circumference to a decimal approximation?
5. How does changing the diameter affect the circumference?

Tip: Remember, the circumference is always proportional to the diameter, with π being the constant of proportionality.