Mathematics
Construct a regular hexagon of side 5 cm. Construct a circle circumscribing the hexagon.
Answer
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.
Related Questions
Use ruler and compasses only for answering this question. Draw a circle of radius 4 cm. Mark the centre as O. Mark a point P outside the circle at a distance of 7 cm from the centre. Construct two tangents to the circle from the external point P. Measure and write down the length of any one tangent.
Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon.
Construct a ΔABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. Measure the radius of the incircle.
(i) Construct a ΔABC in which BC = 5 cm, AB = 6.5 cm and ∠ABC = 120°.
(ii) Construct a circle circumscribing ΔABC.
(iii) Draw a cyclic quadrilateral ABCD so that D is equidistant from B and C.