Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle .

The angle made at the centre of a circle is …….

If each pair of opposite sides of a quadrilateral is equal, then it is a

Parallelogram circumscribing a circle is a ………………..

State the converse of the following theorem. "Equal chords of a circle subtend equal angles at the centre".

Sum of opposite angles in a cyclic quadrilateral is …………

The locus of the point, the chord of contact of which wrt the circle x^(2)+y^(2)=a^(2) subtends a right angle at the centre of the circle is

The sides of a triangle inscribed in a given circle subtend angles alpha, beta, gamma at the centre then minimum value of Arithmetic mean of cos(alpha+pi//2), cos beta+pi//2)cos (gamma+pi//2)

The radius of a circle us ‘r’ , an arc of length ‘l’ is making an angle theta , at the centre of the circle ,then theta =

A chord of a circle of radius 20 cm subtends a right angle at the centre find the corresponding minor segment.