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By what minimum angle does a regular hexagon rotate so as to coincide with its origional position for the first time? - Mathematics

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Question

By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?

Sum
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Solution

A regular hexagon must be rotated through a minimum angle of 60°.

So, that it can coincide with its original position for the first time.

Because the angle of rotation of hexagon

= `360^circ/"Number of sides"`

= `360^circ/6`

= 60°

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Chapter 12: Practical Geometry Symmetry and Visualising Solid Shapes - Exercise [Page 375]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 12 Practical Geometry Symmetry and Visualising Solid Shapes
Exercise | Q 102. | Page 375

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