The area of the upper half of the circle whose equation `(x-1)^(2)+y^(2)=1` is given by

If one of the diameters of the circle, given by the equation x ^(2) + y^(2) + 4x + 6y -12 =0, is a chord of a circle S, whose centre is (1,-3), the radius of S is

The area of the portion of the circle x^(2)+y^(2)=1 which lies inside the parabola y^(2)=1-x, is -

If one of the diameter of the circle, given by the equation x^(2)+y^(2)+4x+6y-12=0 , is a chord of a circle S, whose centre is (2,-3), the radius of S is

If one of the diameters of the circle,given by the equation,x^(2)+y^(2)-4x+6y-12=0 is a chord of a circle S,whose centre is at (-3,2), then the radius of s is :

The area of the region by the circle x^(2)+y^(2)=1 is

The area of the region by the circle x^(2)+y^(2)=1 is

The area of the smaller region bounded by the circle x^(2) + y^(2) =1 and the lines |y| = x +1 is

The equation of the director circle of the hyperbola (x^2)/(16)-(y^2)/(4) = 1 is given by :