Mathematics
Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon.
Constructions
6 Likes
Answer
Steps of construction :
Draw a line segment AB = 4 cm.
At A and B, draw rays making an angle of 120° each and cut off AF = BC = 4 cm.
Again from F and C, draw rays making an angle of 120° each and cut off FE = CD = 4 cm.
Join DE. Thus, ABCDEF is the regular hexagon.
Draw diagonals AD and FC. Let it meet at point O.
With O as center and OA as radius draw a circle passing through A, B, C, D, E and F.
Hence, above is the required circumcircle of regular hexagon.
Answered By
3 Likes
Related Questions
Using a ruler and a compass, construct a triangle ABC in which AB = 7 cm, ∠CAB = 60° and AC = 5 cm. Construct the locus of :
(i) points equidistant from AB and AC.
(ii) points equidistant from BA and BC.
Hence construct a circle touching the three sides of the triangle internally.
Construct a triangle ABC in which AB = 5 cm, BC = 6.8 cm and median AD = 4.4 cm. Draw incircle of this triangle.
Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.
In triangle ABC, ∠ABC = 90°, side AB = 6 cm, side BC = 7.2 cm and BD is perpendicular to side AC. Draw circumcircle of triangle BDC and then state the length of the radius of this circumcircle drawn.