A chord is 2cm from the centre of a circle. If the radius...
A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord
2√21cm
√42cm
2√19cm
√21cm
Correct answer is A
From △ OMQ find /MQ/ by Pythagoras OQ2 = OM2 + MQ2
52 = 22 + MQ2
25 = 4 + MQ2
25 - 4 = MQ2
21 - MQ2
MQ2 = 21
MQ2 = √21
Length of chord = 2 x √21 = 2√21cm
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