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Q.

The order of rotation and angle of rotation of a regular hexagon respectively are:

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a

4 and

90 °

b

2 and

90 °

c

6 and

120 °

d

6 and

60 °

answer is D.

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Detailed Solution

Here, we have to find the order of rotation and angle of rotation of a regular hexagon.
We know that the order of a regular polygon's rotational symmetry equals the number of sides and the angle of rotation should be

A n g l e o f r o t a t i o n = 360 ° Order of a regular polygon .

Since the number of sides in a regular hexagon is 6, therefore the order of a regular hexagon is also 6.
Thus, the angle of rotation of a regular hexagon is,

⇒ A n g l e o f r o t a t i o n = 360 ° 6 ⇒ A n g l e o f r o t a t i o n = 60 °

Question Image

Hence, the order of rotation and angle of rotation of a regular hexagon respectively are 6 and

60 ° .

So, option (4) is correct.

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The order of rotation and angle of rotation of a regular hexagon respectively are: