Suppose you are given a circle. Describe a method by which you can find the centre of this circle.

Suppose you are given a circle. Give a construction to find its centre.

Suppose you are given a circle. Give a construction to find its centre.

A diameter of a circle is a chord that ..... the centre of the circle.

In Figure, a crescent is formed by two circles which touch at A. C is the centre of the larger circle. The width of the crescent at BD is 9cm and at EF it is 5cm. Find (i) the radii of two circles (ii) the area of the shaded region.

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

A particle describes uniform circular motion. Find the torque on it about the centre of the circle.

In Figure, O is the centre of the circle. Find /_B A C

Find the length of a tangent drawn to a circle with radius 5 cm, from a point 13 cm from the centre of the circle.

A circle cuts two perpendicular lines so that each intercept is of given length. The locus of the centre of the circle is conic whose eccentricity is

In the given circle. Arc APB and are BQC are in the ratio 2: 5 and O is centre of the circle. If angle AOB = 44^(@) : Find angle AOC.