Nonagon Formulas

Nonagon Formulas

1. Area of Regular Nonagon Formula

Area = 9 × s 2 × ( 1 + 5 ) × cot ( π 9 )

The area uses the side length (s) and cotangent of π/9.

2. Perimeter of Regular Nonagon Formula

Perimeter = 9 × s

The perimeter is 9 times the side length (s).

3. Apothem of Regular Nonagon Formula

a = s × cot ( π 9 ) 2

The apothem is the perpendicular distance from the center to a side midpoint.

4. Interior Angle of Regular Nonagon Formula

θ = 180 × 7 9

Each interior angle is 140°.

5. Exterior Angle of Regular Nonagon Formula

Exterior Angle = 360 9

Each exterior angle is 40°.

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