A circle is inscribed in a regular hexagon with side length 20. What is the radius of the circle?
+23246 Draw the regular hexagon and the inscribed circle.
Draw a triangle from the center of the circle, along a radius to a point of tangency of the circle and the
hexagon, and along the tangent to a corner.
This triangle is a 30o-60o-90o triangle with the length of the side from the point of tangency to the
corner = 10.
This will make the radius = 10·sqrt(3).
