Prove that opposites of a quadrilaterial circumscribing a circle subtend supplementary angles at the centre of the circle.

Prove that the parallelogram circumscribing a circle is a rhombus.

Prove that the parallelogram circumscribing a circle is a rhombus.

Prove that the parallelogram circumscribing a circle is a rhombus.

Prove that if chords of congruent circles subtend equal angles at their centre then the chords are equal.

Prove that the line of centres of two intersecting circles subtends equal angles at the two point of intersection.

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

In the given figure, a chord AB of the circle with centre O and radius 10 cm, that subtends a right angle at the centre of the circle. Find the area of the minor segment AQBP. Hence find the area of major segment A angle lBQA.

The length of an arc of a circle of radius 25 cm is 32 cm. Find the angle subtended by the arc at the centre of the circle.

Recall that two circles are congruent, if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres