[ [tangents drawn from one point]

Two tangents are drawn from a common point to a circle. The radius of the circle is 11, and the sum of the tangents is 120.

Find the distance from the center to the common point of tangents.

#
The length of each tangent is 60. The square of the desired distance is $60^{2}+11^{2}=61^{2}$.

![](https://cdn.mathpix.com/cropped/2024_05_06_837b6360ec703a44a031g-15.jpg?height=368&width=623&top_left_y=2014&top_left_x=726)

Answer

61.