Exams › SSC CGL (Prelims) › General

A chord of length 16 cm is at a distance of 6 cm from the center of a circle. Find the radius of the circle.

1. 8 cm
2. 14 cm
3. 12 cm
4. 10 cm

Correct answer: 10 cm

Solution

The perpendicular from the center to the chord bisects it, so half the chord is 8 cm. With distance from center 6 cm, the radius is the hypotenuse of a right triangle: \(r^2 = 8^2 + 6^2\). Thus \(r = \sqrt{64+36} = 10\) cm.

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