The resistance R of a wire of fixed length is related to its diameter x by an inverse square law, that is, by a function

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The resistance R of a wire of fixed length is
related to its diameter x by an inverse square
law, that is, by a function of the form
R(x)
= kx−2.
(a)
A wire of fixed length and 0.005 meters in diameter has a
resistance of 180 ohms. Find the value
of k (in ohms · m2).
??? ohms · m2
(b)
Find the resistance (in ohms) of a wire made of the same
material and of the same length as the wire in part (a) but with a
diameter of 0.004 meters.
???ohms