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What is a Regular Polygon? Video Lecture | Mathematics (Maths) Class 8
FAQs on What is a Regular Polygon? Video Lecture - Mathematics (Maths) Class 8
| 1. What is a regular polygon? |  |
A regular polygon is a polygon that has all sides of equal length and all angles of equal measure. In other words, it is a polygon with both sides and angles that are congruent to one another.
| 2. How many sides does a regular polygon have? | |
The number of sides in a regular polygon can vary. It can have three sides, which is known as a regular triangle, or it can have four sides (regular quadrilateral), five sides (regular pentagon), six sides (regular hexagon), and so on.
| 3. How do you find the measure of each angle in a regular polygon? | |
To find the measure of each angle in a regular polygon, you can use the formula: (n-2) * 180 / n, where n represents the number of sides in the polygon. For example, in a regular hexagon (n = 6), each angle would measure (6-2) * 180 / 6 = 120 degrees.
| 4. Can a regular polygon have an odd number of sides? | |
No, a regular polygon cannot have an odd number of sides. The reason is that in a regular polygon, the sum of all internal angles is equal to (n-2) * 180 degrees, where n is the number of sides. If n is odd, then (n-2) would be even, and dividing an even number by an odd number would result in a non-integer angle measure.
| 5. What is the difference between a regular polygon and an irregular polygon? | |
A regular polygon has all sides and angles congruent to each other, while an irregular polygon does not. In an irregular polygon, the sides and angles can have different lengths and measures. An irregular polygon can have sides of different lengths and angles of different measures.
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