Please i did this exercice in a Math test and i want you guys to help me know if my result is correct...

Exercice:

Calculate the moment of inertia about the origin of a uniform plate of mass M and such that:

$\displaystyle {y}^{2}+{x}^{2}\leq1\wedge0 \leq x \leq y \wedge x + y \geq 1$

My result was "I=0"...