Mathematics
Draw a circle circumscribing a regular hexagon with side = 5 cm.
Constructions
56 Likes
Answer
Each interior angle of a regular hexagon =
Steps of construction :
Draw a regular hexagon ABCDEF with each side equal to 5 cm and each interior angle = 120°.
Draw the perpendicular bisectors of AB and AF which intersect each other at O.
With O as center and OA as radius draw a circle which will pass through all the vertices of the regular hexagon.
Hence, above is the required circumcircle of regular hexagon.

Answered By
25 Likes
Related Questions
Using ruler and compasses only construct a triangle ABC in which BC = 4 cm, ∠ACB = 45° and perpendicular from A on BC is 2.5 cm. Draw a circle circumscribing the triangle ABC.
(i) Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm.
(ii) Find its incenter and mark it I.
(iii) With I as centre, draw a circle which will cut off 2 cm chords from each side of the triangle.
Draw an inscribing circle of regular hexagon of side 5.8 cm.
Construct a triangle ABC in which base BC = 5.5 cm, AB = 6 cm and ∠ABC = 120°.
(i) Construct a circle circumscribing the triangle ABC.
(ii) Draw a cyclic quadrilateral ABCD so that D is equidistant from B and C.