# A geometry problem by crazy singh

Geometry Level 2

In the following figure, arc $$AB$$ is a quadrant of the circle with center at point $$O$$ and radius $$4$$ units. further $$OC=OD$$, $$OC:OA =3:4$$. The ratio of length of $$AG$$ to $$GD$$ is given by $$\frac { a }{ b }$$ where $$a$$ and $$b$$ co-prime positive integers. then $$a+b$$ is equal to?

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