Exams › SSC CGL (Prelims) › General

In a circle of radius 13 cm, a chord is 5 cm away from the center. Find the length of the chord.

1. 12 cm
2. 24 cm
3. 26 cm
4. 20 cm

Correct answer: 24 cm

Solution

The perpendicular from the center to a chord bisects the chord. So half the chord length is \(\sqrt{13^2-5^2}=\sqrt{169-25}=12\) cm. Therefore, the full chord length is \(24\) cm.

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