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Question

A chord of length 8 cm is drawn at a distance of 3 cm from the centre of a circle. Calculate the radius of the circle.


A

4 cm

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B

5 cm

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C

8 cm

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D

9 cm

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Solution

The correct option is B

5 cm


In the circle, O is the centre chord AB = 8 cm.

OM AB which bisects it at M.

AM=12 AB=12×8=4 cm

OM = 3 cm

Now in right Δ OAM,

OA2=AM2+OM2

=(4)2+(3)2=16+9=25

OA=25=5 cm


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