
A straight line is drawn cutting two circles of equal radii and passing through the mid point M of the line joining their centres O and O'. Prove that the chords PQ and RS, which are intercepted by the two circles, are equal.


Important Questions on Circles





The length of two chords and of a circle of centre are equal and then, is

Draw a chord of length in a circle of radius . Measure and write the distance of the chord from the centre of the circle.





On the circle with center , points are such that . A point is located on the tangent at to the circle such that and are on the opposite sides of the line and . The line segment intersects the circle again at . Then the ratio is equal to -

Prove that, the angle in the semicircle is right angle.

Chords and are intersecting at . centimetres, centimetres and centimetres. What is the length of ?


Two parallel chords in a circle are of lengths , respectively and the distance between them is . The chord , parallel to and midway between them is of length , where is equal to:


The two chords and of a circle are at equal distance from the centre . If and , then calculate the length of the radius of the circle.



