Q8 of 100 Page 16

Given an arc of a circle, show how to complete the circle.

Steps of construction:

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


(ii) Join AB and BC


(iii) Draw the perpendicular bisectors of chord AB and BC which intersect each other at point O. Then, O will be the required centre of the required circle.


(iv) Join OA


(v) With centre O and radius OA, complete the circle



More from this chapter

All 100 →
6

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.

 7

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.

 9

Prove that two different circles cannot intersect each other at more than two points.

 10

A line segment AB is length 5 cm. Draw a circle of radius 4 cm passing through A and B. Can you draw a circle of radius 2 cm passing through A and B? Give reason in support of your answer.