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SSC CGL 2022 PYQ — Question 59

SSC CGL - 02 Dec 2022 - Shift 3 • Quantitative Aptitude • Q59

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The length of the tangent to a circle from a point P is 15 cm. Point P is 17 cm away from the centre. What is the radius of the circle?

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 8 cm.

Let the radius of the circle be r

Using Pythagoras theorem in triangle OMP, we get

⇒ r2 = 172 - 152

⇒ r2 = 289 - 225

⇒ r2 = 64

⇒ r = 8 cm