How Many Sides Does a Regular Polygon Have?

What Is a Regular Polygon?

A regular polygon is a two-dimensional shape with straight sides and angles, and is made up of line segments. The most common regular polygons are the triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, and decagon. All these shapes have something in common – they have equal sides and angles. The interior angles of a regular polygon add up to a specific number, depending on the number of sides.

How Many Sides Does a Regular Polygon Have?

The number of sides a regular polygon has depends on the shape. A triangle has three sides, a quadrilateral has four sides, a pentagon has five sides, a hexagon has six sides, a heptagon has seven sides, an octagon has eight sides, a nonagon has nine sides, and a decagon has ten sides.

What Is the Formula for Calculating the Number of Sides of a Regular Polygon?

The formula for calculating the number of sides of a regular polygon is: N = 360/x, where N is the number of sides and x is the interior angle of the regular polygon. For example, if the interior angle is 60 degrees, then the number of sides is 360/60 = 6.

What Is the Interior Angle of a Regular Polygon?

The interior angle of a regular polygon is the angle between two adjacent sides. The general formula for calculating the interior angle of a regular polygon is (n-2) x 180°/n, where n is the number of sides of the polygon. For example, if the polygon has five sides, then the interior angle is (5-2) x 180°/5 = 108°.

Conclusion

A regular polygon is a two-dimensional shape with straight sides and angles, and is made up of line segments. The number of sides a regular polygon has depends on the shape, with triangle having three sides, quadrilateral having four sides, pentagon having five sides, and so on. The formula for calculating the number of sides of a regular polygon is N = 360/x, where N is the number of sides and x is the interior angle of the regular polygon. The interior angle of a regular polygon is the angle between two adjacent sides, and the general formula for calculating the interior angle is (n-2) x 180°/n, where n is the number of sides of the polygon.