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In a circle of radius 2018 having centre at $$O$$, $$OPQR$$ is a rectangle with $$Q$$ on the circumference of the circle. $$P$$, $$R$$ points inside the circle such that $$PQ = 504$$. Then $$PR =$$
Since $$O$$ is the centre and $$Q$$ lies on the circle, $$OQ = 2018$$. $$OQ$$ and $$PR$$ are the two diagonals of the rectangle $$OPQR$$, and the diagonals of a rectangle are equal. Hence $$PR = OQ = 2018$$; the length $$PQ = 504$$ is not needed.
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