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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