Example 3

Construct square inscribed in circle with the radius equal to one-half the length of . Note: Drag the blue points to try different line segments.
  1. Construct circle . Bisect the length of . Use this length as the radius for circle .
  2. Label a point on the circle point .
  3. Construct the diameter of the circle. Label the second point of intersection .
  4. Construct the perpendicular bisector of . Extend the bisector so it intersects the circle in two places. Label the points of intersection and .
  5. Construct the sides of the square. Do not erase any of your markings. Quadrilateral is a square inscribed in circle .
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information on their resources.