Arcs and Chords and Segments, Oh My!
Home > Puzzles > Arcs and Chords and Segments, Oh My!
Updated June 3rd, 2015
The Story

    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:
  • Proper use of mathematics, and
  • A detailed explanation that accompanies the work.

    Click here if you would like to submit your solution.