By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?
Solution:
We know that
A regular hexagon is defined as a closed 2D shape made up of six equal sides and six equal angles. Each angle of the regular hexagon measures 120 degrees.
It should be rotated through a minimum angle of 60 degrees so that it can coincide with the original position
Angle of rotation of hexagon = 360°/ Number of sides
= 360°/6
= 60°
Therefore, a regular hexagon rotates by a minimum angle of 60° to coincide with its original position.
✦ Try This: Construct an equilateral triangle DEF of side 10 cm.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 10
NCERT Exemplar Class 7 Maths Chapter 12 Problem 102
By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?
Summary:
A regular hexagon rotates by a minimum angle of 60° to coincide with its original position for the first time.
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