There is a circle of diameter 10 cm A chord of length 6
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There is a circle of diameter 10 cm. A chord of length 6 cm is drawn inside the circle. What is the distance between the centre and this chord in cm?
A.
3
B.
4
C.
2
D.
1.5
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
Radius = 12 of diameter = 5 cm
OS is drawn from O and is perpendicular to chord PQ and bisects it.
Hence SQ = 3 cm
Hence length of OS is distance between O and PQ.
OQ2= OS2 + SQ2
52 = OS2+ 32
⇒ OS = 4 cm.
Hence distance between centre and chord is 4 cm.
