Answer :

The steps to construct a regular hexagon inscribed are-Construct a horizontal line I and a point H on this line I, draw a circle having to intersect line I with it's center at point H, label the point of intersection of the circle and the left of point H, point J.

Detailed steps to construct a regular hexagon inscribed using a compass are:

  1. Construct a horizontal line I and a point H on this line I.
  2. Construct a circle which will intersect line I with it's center at point H.
  3. Name the point of intersection of the circle and the left of point H, point J.
  4. Construct a circle by taking center point at point J and with a radius of HJ. Construct a circle by taking center at point K having a radius of HJ.
  5. Name the point of intersection of circles H and J that lies above line I, point M, and the point of the intersection that lies below line I, point N.
  6. Name the point of intersection of circles H and K that lies above line I, point O, and the point of their intersection that lies below line I, point P. Construct and JM, MO, OK, KP, PN, and NJ to complete regular hexagon JMOKPN.

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