Draw a hexagon of side 6 cm each and draw an incircle to it

Asked by  | 20th Feb, 2014, 08:17: AM

Expert Answer:

Dear Student,
 
 
 
Let each side of the givenregular hexagon be 6 cm.
Each interior angle of the regular hexagon 
=(fraction numerator 2 x 6 minus 4 over denominator 4 end fraction)x90o=120o
Steps:
 
1. Using the given data, construct the regular hexagon ABCDE with each side equal to 6cm.
2. Draw the bisectors of interior angles at A and at B which intersect each other at point I.
3. From point I,draw IP perpendicular to AB.
4. With I as center and IP as radius draw a circle which will touch all the sides of the regular hexagon drawn
 
The circle so obtained is the required inscribing circle of the given regular hexagon.
 
 
Thanks and Regards
Toppers Learning

Answered by  | 20th Feb, 2014, 01:32: PM

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