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Home > PC > Chapter 4 > Lesson 4.3.1 > Problem 4-130

4-130.

A string around a circle is pulled up by a thumbtack, , as shown below. The string is tangent to the circle with . Given that the circle has a radius of , complete the following problems.

  1. Find an expression for the length of the string if .

  2. How long would the string have to be if is ?

  3. Find .

Circle, point on far right labeled, b, point in second quadrant labeled, a, point outside & up & right of circle labeled, t, segments from, T to A, and from, T to B.