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Question

The radius of a circle is 16cm. The mid point of a chord of the circle lies on the diameter perpendicular to the chord and its distance from the near end of the diameter is 3cm; If the length of that chord is m87 cm, then the value of m is

A
4
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B
8
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C
2
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D
1
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Solution

The correct option is B 2
Radius of circle =16cm
Length of perpendicular to chord from center =163=13cm
Perpendicular from center to any chord bisects the chord.
So, by Pythagoras' theorem, the half length of the chord is =162132=87
So the length of the chord is =287cm
So option C is the right answer.

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