Help with this math problem please?

Question

In the electric currect flow, it is found that the resistance (measured in the units called ohms) offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. If a wire 0.01 in. In diameter has a resistance of 0.444 ohm, what is the resistance of a wire of the same length and material with dismeter 0.0416 in. To the nearest ten-thousandth? 

Answer 1

resistance (ohms) offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire:  R = k/d² (in the form of a mathematical equation).

0.444 = k/(0.01²)  Therefore k = 0.444/(0.0001) = 4.44 •10^-5 or 0.00000444

 

Now you have NEW data (new d and also you know k, so you can calculate R