# 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