Grades 11-12 Video Solutions 2013-Grades 11-12 Video Solutions 2013 problem2

Grades 11-12 Video Solutions 2013 problem2

Video Transcription

Video Summary

The problem involves finding the radius of a circle inscribed within the smallest octagon formed by diagonals inside a larger regular octagon, each side measuring 10. The speaker establishes that the circle's diameter equals the octagon's side length, 10, by showing the red lines, which are tangent to the circle, are parallel. Using geometric theorems, they form a rectangle to confirm that these lines are indeed parallel. Consequently, if the diameter of the inscribed circle is 10, the radius is 5.

Keywords

inscribed circle

octagon

geometry

radius

diagonals