There is a circular park of diameter \(65 \ m\) as shown in the following figure, where \(AB\) is a diameter.
An entry gate is to be constructed at a point \(P\) on the boundary of the park such that distance of \(P\) from \(A\) is \(35 \ m\) more than the distance of \(P\) from \(B\). Evaluate the distance of point \(P\) from \(A\) and \(B\) respectively.