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

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

Find the length of an arc of circle which subtends an angle of 108^@ at the centre, if the radius of the circle is 15cms.

Answer the following:In two arcs,of the same length of the wo circles subtend angles 65^@ and 110^@ at the centre, find the ratio of their radii

Select and write the correct answer from the given alternatives in each of the following:An arc AB of a circle subtends an angle x radians at the centre O of the circle.Given that the area of the sector AOB is equal to the square of the length of the arc AB.then he value of x

If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

A chord PQ of circle with radius 15 cm subtends an angle of 60^@ with the centre of the circle. Find the area of the minor as well as the major segment. (pi =3.14, sqrt3 = 1.73)

A magnetised wire of moment M is bent into an arc of a circle subtending an angle of 60^(@) at the centre. The new magnetic moment is