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Mathematics
16. Circles
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Q12 of 100 Page 16

Given an arc of a circle, complete the circle.

Steps of construction:

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


(ii) Join AB and BC


(iii) Draw the perpendicular bisectors of chords 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

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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.

11

An equilateral triangle of side 9 cm is inscribed in a circle. Find the radius of the circle.

13

Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?

14

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

Questions · 100
16. Circles
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