Three circles each with radius r intersect each other such that each passes through the center of the other two circles. Find the area of the intersection of their interiors.

Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is

Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is

Two equal circles of radius 4 cm interest each other such that each passes through the centre of the other. The length of common chord 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 ?

Two circles, each of radius r, with centres P and Q. are such that each circle passes through the centre of the other circle. Then the area common to the circles is less than one-third of the sum of the areas of the two circles by