Two equal circles pass through each other's centre. If the radius of each of the circle is 13 cm, then what is the length of the common chord?

In the XY-plane, the area, in square units, of the region defined by the inequalities $$y \geq x ...

A circular plot of land is divided into two regions by a chord of length $$10\sqrt{3}$$ meters, whi...

Three circles of equal radii touch (but not cross) each other externally. Two other circles, X and ...

Let $$ C $$ be the circle $$ x^2 + y^2 + 4x - 6y - 3 = 0 $$, and $$ L $$ be the locus of the point ...

A quadrilateral $$ ABCD $$ is inscribed in a circle such that $$ AB : CD = 2 : 1 $$ and $$ BC : AD ...

A triangle is drawn with its vertices on the circle $$C$$ such that one of its sides is a diameter ...