Question

If length of the tangent is \(8\text{ cm}\) and the distance between the center of the circle and the external point is \(11\text{ cm}\), then the area of the circle is

• A. \(100\text{ cm}^2\)
• B. \(197.14\text{ cm}^2\)
• C. \(179.14\text{ cm}^2\)
• D. \(110.14\text{ cm}^2\)

Hint:

Radius is always perpendicular to the tangent at the point of contact. So, use \(OP^2=OT^2+PT^2\) to find the radius.

Answer 1

The Correct Option is C