Math Problem Statement
What is the Angle of Rotation?
Solution
The image shows a regular polygon, specifically an octagon (8-sided figure), with the question "What is the angle of rotation?".
For regular polygons, the angle of rotation can be calculated using the formula:
where is the number of sides of the polygon.
Since this is an octagon ():
Therefore, the correct answer is 45°.
Would you like any more details or further clarification?
Here are 5 related questions:
- How would the angle of rotation change for a decagon (10-sided polygon)?
- What is the total sum of the interior angles of an octagon?
- How does rotational symmetry relate to the angle of rotation?
- Can irregular polygons have rotational symmetry?
- What is the difference between rotational and reflectional symmetry?
Tip: The smaller the number of sides, the larger the angle of rotation for a regular polygon.
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Math Problem Analysis
Mathematical Concepts
Geometry
Symmetry
Rotational Symmetry
Formulas
Angle of Rotation = 360° / n
Theorems
Rotational Symmetry Theorem
Suitable Grade Level
Grades 7-9