If the non-parallel sides of a trapezium are equal, prove that it is cyclic.
Two chords AB and CD of lengths 5 cm 11cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.
A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.
Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.
- Mathematics Textbook for Class 9