KnowledgeBoat Logo

Mathematics

Draw a regular hexagon of side 3.5 cm. Construct its circumcircle and measure its radius.

Constructions

6 Likes

Answer

We know that each angle in a regular hexagon = 120°.

  1. Draw a line segment AB = 3.5 cm.

  2. At A and B draw rays making an angle of 120° each and cut off AF = BC = 3.5 cm.

  3. At F and C, draw rays making angle of 120° each and cut off EF = CD = 3.5 cm.

  4. Join ED. Hence, ABCDEF is the required hexagon.

  5. Draw the perpendicular bisector of AB and BC. Let these bisectors meet at the point O.

  6. With O as center and radius equal to OA or OB, draw a circle which passes through the vertices of the hexagon. This is the required circumcircle of hexagon ABCDEF.

Draw a regular hexagon of side 3.5 cm. Construct its circumcircle and measure its radius. Constructions, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

On measuring we get OA = 3.5 cm.

Hence, the required hexagon with circumcircle of radius 3.5 cm. is formed.

Answered By

2 Likes


Related Questions