Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

The adjoining figure shows two circles with the same centre. The radius of the larger circle is 10 cm and the radius of the smaller circle is 4 cm(a) the area of the larger circle (b) the area of the smaller circle (c) the shaded area between the two circles. ( pi = 3.14)

Prove that a diameter of a circle which bisects a chord of the circle, also bisects the angles subtended by the chord at the centre of the circle.

Find the equation of that chord of the circle x^2 + y^2 = 15, which is bisected at the point (3,2)

Prove that of all chords of a circle through a given point within it, the least is one. Which is bisected at that point.

Of any two chords of a circle, show that the one which is greater is nearer to the centre.

Of any two chords of a circle, show that the one which is greater is nearer to the centre.

If two chords of a circle bisect one another they must be diameters.