Mathematics
Draw a circle circumscribing a regular hexagon with side = 5 cm.
Constructions
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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.
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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.
The bisectors of angles A and B of a scalene triangle ABC meet at O.
(i) What is the point O called ?
(ii) OR and OQ are perpendiculars drawn to AB and CA respectively. What is the relation between OR and OQ ?
(iii) What is relation between angle ACO and angle BCO ?
Draw an inscribing circle of regular hexagon of side 5.8 cm.