Q5 of 100 Page 16

Give a method to find the centre of a given circle.

Steps of construction:

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


(ii) Join AB and BC


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


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



More from this chapter

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3

Find the length of a chord which is at a distance of 4 cm from the centre of the circle of radius 6 cm.

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Prove that the line joining the mid-point of a chord to the centre of the circle passes through the mid-point of the corresponding minor arc.

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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.