The angle between the two circles, each passing through the centre of the other is

The angle between two circles , each passing through the centre of the other is

The picture below shows two circles, each passing through the center of the other. Calculate the area of the region common to both.

The radical axis of two circles whose centres are ( 3,4), (-1,2) and each passing through the centre of the other is

Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

Two circles with equal radii are intersecting at the points (1,0) and (-1,0) . Then tangent at the point (1,0) to one of the circles passes through the centre of the other circle.Then the distance between the centres of these circles is:

Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

Two identical circles each of radius 2 cm intersect each other such that the circumference of each one passes through the centre of the other. What is the area (in cm^(2) ) of the intersecting region ?