Final answer:
The task is to calculate the length of a circle's circumference in centimeters. None of the provided options correctly apply the formula C = 2πr. Assuming the radius would be given, the correct expression to calculate the circumference would be 2 * 3.14 * radius in cm.
Step-by-step explanation:
The question asks for the calculation of the length of a nickel in centimeters, assuming 'nickel' is referring to the circumference of a circle (which is the context given by the examples involving π and the formulas provided).
To calculate the circumference of a circle, the formula is C = 2πr, where r is the radius of the circle and π (pi) is approximately 3.14159. Looking at the options provided:
- (a) Length = 2² * π is incorrect because it squares the 2, which would not give the circumference.
- (b) Length = 3.14 * 2 does not include the pi symbol and thus may be incorrect or a simplification for π.
- (c) Length = 2 * 3.14 is again likely a simplification, but it lacks the context to determine its accuracy.
- (d) Length = 4 * π is also incorrect for calculating circumference, as it does not follow the formula C = 2πr.
Given the options, none of them correctly apply the formula for the circumference of a circle. However, if we correct option (b) to represent the formula accurately, it would be Length = 2πr. Since we are not provided with the radius, we cannot complete the actual calculation. However, for educational purposes, if we had a radius (for example, 1 cm), the calculation would be Length = 2 * 3.14 * 1 cm, which equals 6.28 cm.