Define a circle in two dimensions in the L3 norm

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So this is straight from my homework so please don't all out answer it but maybe point me in the right direction.

We are learning about dimensionality and clustering algorithms and this is one question.

Where I'm currently at is:

This is the way I think a norm is defined is as follows:

$$L_n(a,b)=\sqrt[n]{(a_1−b_1)^n+(a_2−b_2)^n+\dots+(a_i−b_i)^n}$$

So the $L3$ norm is easy enough to compute. So for the circle part do I have to parametrize it? Or can someone point me in the proper direction?

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