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ML Aggarwal Solutions Class 10 Mathematics Solutions for Constructions Exercise 16.2 in Chapter 16 - Constructions
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Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon.
Solution:
The closed polygonal shape of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides.
Steps to construct:
Step 1: Draw a line segment AB = 4cm.
Step 2: At points A and B draw rays making on angle of 120o each and cut off AF = BC = 4cm.
Step 3: At point C and F draw rays making on angle of 120o each and cut off FE = CD = 4cm.
Step 4: Join ED. The required ABCDEF hexagon is formed.
Step 5: Draw perpendicular bisectors of sides AB and BC intersecting each other at point O.
Step 6: With O as the center and radius equal OA or OB draw a circle which passes through the vertices of the hexagon.
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