Exams › SSC CGL (Prelims) › General

The line segment from the center of a circle to the midpoint of a chord is 8 cm long. If the radius is 17 cm, what is the length of the chord?

1. 15 cm
2. 20 cm
3. 25 cm
4. 30 cm

Correct answer: 30 cm

Solution

The perpendicular from the center to a chord bisects the chord. So half the chord is $\sqrt{17^2-8^2}=\sqrt{289-64}=15$ cm, making the full chord $30$ cm.

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