Arcs and Chords and Segments, Oh My!
There is an arc of a certain circle called arc AXC. Its length is known and its length is less than the circumference of the circle. X is a point on the arc that is at its midpoint. B is a point on chord AC such that it is the midpoint of the chord.
We also know that segment BX is perpendicular to chord AC and that segment BX has a length less than the radius.
Find the length of the radius of the circle.
Submitting Your Solution
Credit will be awarded on the following guidelines:
Click here if you would like to submit your solution via e-mail to email@example.com.