How do you find the circumference of a circle with a diameter of 10?

To find the circumference of a circle, you can use the formula that involves the diameter. The relationship between the circumference ( C ) and the diameter ( d ) of a circle is given by the equation ( C = \pi \times d ).

In this case, the diameter of the circle is 10. Plugging this value into the formula, you get:

[ C = \pi \times 10 ]

This simplifies to:

[ C = 10\pi ]

This is exactly what option B states, clearly outlining how the circumference is directly proportional to the diameter, where ( \pi ) acts as a constant multiplier that represents the ratio of circumference to diameter in any circle.

The other options incorrectly utilize different relationships or include unnecessary operations. For example, the formula requiring the radius directly or modifying the diameter with incorrect constants does not accurately express the relationship needed to determine circumference. Hence, the correct choice focuses particularly on the fundamental relationship of circumference with diameter.