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Question

A chord of length 6 cm is drawn on a circle of radius 5 cm. Calculate its distance from the centre of the circle.


A

7 cm

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B

5 cm

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C

2 cm

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D

4 cm

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Solution

The correct option is D

4 cm




In the circle shown above, O is the centre.

Radius, OA = 5 cm

Chord AB = 6 cm

OM AB, which bisects it at M.

AM=12 AB=12×6 cm=3 cm

Now, in right ΔOMA,

OA2=AM2+OM2 (Pythagoras' Theorem)

(5)2=(3)2+OM2

25=9+OM2 OM2=259=16

OM=16=4 cm


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