Question

how to draw incircle in a hexagon....pls mention the steps

Answer 1

Construction: Use consecutive 60° arcs to construct a regular hexagon inscribed a circle.
Step 1: Use the given center and the straightedge to construct a radius of the circle. Use the compass to measure the radius.
Step 2: Using this radius, place the point of the compass at the endpoint of the radius on the circle and make an arc that intersects the circle.
Step 3: Keeping the same radius, place the point of the compass at the point of intersection of the arc (from step 2) and make another arc that intersects the circle. 
Step 4: Continue making consecutive arcs around the circle as described in step 3 until the circle has been divided into six 60º arcs.
Step 5: Construct the sides of the regular hexagon by connecting the endpoints of the consecutive 60° arcs.

Allow the student to visualize the construction process.

Step 1: Given a circle on translucent paper, fold the paper so that two halves of the circle coincide. The crease of the fold is a diameter of the circle. Label the endpoints of the diameter C and F.
Step 2: Fold so that endpoint F coincides with the center of the circle and make a firm crease. This fold produces two vertices of the regular hexagon on the circle. Label these vertices A and E.
Step 3: Repeat step 2 by folding endpoint C so that it coincides with the center of the circle and make a firm crease. This fold produces two more vertices of the regular hexagon on the circle. Label the vertex between points A and C (in minor arc ), point B. Label the remaining vertex D.
Step 4: Use a straightedge and pencil to construct the sides of regular hexagon ABCDE.

Answer 2

here is your answers