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Draw a circle circumscribing a regular hexagon with side 5 cm.

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Question

Draw a circle circumscribing a regular hexagon with side 5 cm. 

Diagram
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Solution

 
Steps of construction:

  1. Draw a regular hexagon ABCDEF with each side equal to 5 cm and each interior angle 120°.
  2. Join its diagonals AD, BE and CF intersecting each other at O.
  3. With centre as O and radius OA, draw a circle which will pass through the vertices A, B, C, D, E and F.
    This is the required circumcircle.
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Chapter 19: Constructions (Circles) - Exercise 19 [Page 293]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 19 Constructions (Circles)
Exercise 19 | Q 15. | Page 293
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