Exams › SSC CGL (Prelims) › General

From an external point P located 17 cm from the centre of a circle, a tangent of length 15 cm is drawn to the circle. Find the area of the circle.

1. 64 pi cm^2
2. 289 pi cm^2
3. 225 pi cm^2
4. 81 pi cm^2

Correct answer: 64 pi cm^2

Solution

The radius at the point of contact is perpendicular to the tangent, forming a right triangle with the line OP as hypotenuse. So r^2 = 17^2 - 15^2 = 64, giving area = pi*r^2 = 64 pi cm^2.

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