Exams › SSC CGL (Prelims) › General

From an external point M, tangent MT touches a circle with centre O at T. If OT = 8 cm and OM = 17 cm, find the area of the circle.

1. 64 pi cm^2
2. 225 pi cm^2
3. 289 pi cm^2
4. 49 pi cm^2

Correct answer: 64 pi cm^2

Solution

OT is the radius of the circle since it meets the tangent at the point of contact. With OT = 8, the area is pi x 8^2 = 64 pi cm^2. (OM = 17 is extra data forming a 8-15-17 right triangle.)

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