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ICSE Class X Math 2015 Paper

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Question : 16 of 52
Marks: +1, -0
Construct a regular hexagon of side 5 cm5\,\text{cm}. Construct a circle circumscribing the hexagon. All traces of construction must be clearly shown.
Solution:  
Steps of Construction :
(i) Using the given data, construct the regular hexagon ABCDEFA B C D E F with each side equal to 5 cm5\,\text{cm}.
(ii) Draw the perpendicular bisectors of sides ABA B and AFA F which intersect each other at point OO.
(iii) With OO as centre and OAOA as radius draw a circle which will pass through all the vertices of the regular hexagon ABCDEF.
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