The radius of a circle is 12.5 cm and the length of one of its chords is 11 cm. What is the distance of the chord from the centre? (correct to one dec...

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 ...