What is the value of the circumference of a circle with a radius of 4 inches when calculated as 2π(4)?

To find the circumference of a circle, the formula used is (C = 2\pi r), where (r) represents the radius of the circle. In this case, the radius is given as 4 inches.

Substituting the value of the radius into the formula gives:

[

C = 2\pi(4)

]

This simplifies to:

[

C = 8\pi

]

Thus, the value of the circumference of the circle is (8\pi) inches. This is significant because it directly applies the formula for circumference, demonstrating that for any given radius, this calculation leads to a consistent result.

The correct answer reflects an accurate usage of the geometry concept regarding circles and their properties, specifically the relationship between radius and circumference.