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

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord.

If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.

The longest chord of a circle is a ......... of the circle.

If two lines intersect each other, then prove that the vertically opposite angles are equal.

Prove that the tangent drawn at the ends of chord of a circle make equal angle with the chord.

Prove that if chords f congruent circles subtend equal angles at their centres, then the chords are equal.

A chord of a circle of radius 14 cm makes a right angle at the centre. Find the areas of the minor and major segments of the circle.

A chord of a circle of radius 20 cm subtends an angle of 90^(@) at the centre. Find the area of th corresponding major segment of the circle. (Use pi = 3.14 )

A chord of a circle of radius 12 cm subtends an angle of 120^(@) at the centre. Find the area of the corresponding segment of the circle. (Use pi = 3.14 and sqrt(3) = 1.73 )