Q. 144.8( 18 Votes )

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

Answer :

Steps of construction:

(i) Take three points A, B and C in the given circle.

(ii) Join AB and BC

(iii) Draw the perpendicular bisector of chord AB and BC which intersect each other at O

(iv) Point O will be the required centre of the circle because we know that, the perpendicular bisector of the chord always passes through the centre

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PREVIOUSDraw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?NEXTTwo chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are opposite side of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.

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