# Challenging Circles

Geometry Level 2

In a circle of radius $$r$$ cm, an arc of length $$l$$ cm subtends angle $$\theta$$ at the centre of the circle and the region bounded by the arc and the radius has area $$A$$ $${ cm }^{ 2 }$$.

when $$r>x$$ then $$A>l$$

but,if $$r<x$$ then $$A<l$$

where $$x$$ is an integer.

Find the value of x

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