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Given an Arc of a Circle, Show How to Complete the Circle. - Mathematics

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Question

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

Solution

Steps of construction:
(i) Take three point A, B and C on the given Arc
(ii) Join AB and BC
(iii) Draw the perpendicular bisectors of chords AB and BC which interest each other at
point O, then O will required center of the required circle
(iv) Join OA
(v) With center O and radius OA, complete the circle

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Chapter 15: Circles - Exercise 15.2

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RD Sharma Mathematics [English] Class 9
Chapter 15 Circles
Exercise 15.2 | Q 8

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