Mathematics
Construct a regular hexagon of side 3 cm. Draw its circumcircle and measure its circumradius.
Answer
Steps of construction :
Draw a regular hexagon ABCDEF of side 3 cm.
Draw the perpendicular bisectors of sides AB and AF which intersect each other at point O.
With O as center and OA as radius draw a circle which will pass through all the vertices of the regular hexagon ABCDEF.
On measuring, OA = 3 cm.
Hence, circumradius = 3 cm.
Related Questions
The marks obtained (out of 100) by 400 students in an examination are given below :
Marks No. of students 0-10 10 10-20 20 20-30 22 30-40 40 40-50 54 50-60 76 60-70 80 70-80 58 80-90 28 90-100 12 Using a graph paper, draw an ogive for the above distribution. Use your graph to estimate :
(i) the median marks.
(ii) the number of students who obtained more than 80% marks in the examination.
(iii) the number of students who did not pass, if the pass percentage was 35.
The speed of a boat in still water is 11 km per hour. It can go 12 km upstream and return downstream to the original point in 2 hours and 45 minutes. Find the speed of stream.
The horizontal distance between two towers is 150 m. The angle of depression of the top of one tower as observed from the top of the other tower, which is 120 m in height, is 30°. Find the height of the first tower.