Decagon Area Calculator
Area
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Perimeter
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Interior Angle
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Circumradius
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Understanding Decagons
What is a Decagon?
A decagon is a ten-sided polygon. A regular decagon has all sides equal in length and all interior angles equal in measure.
Key Properties:
- Number of sides: 10
- Number of vertices: 10
- Number of diagonals: 35
- Sum of interior angles: 1440°
Area Calculation
The area of a regular decagon can be calculated using the side length.
Area = (5/2) × s² × cot(π/10)
where s is the side length
- Uses trigonometric functions
- Proportional to square of side length
- More accurate than approximation methods
Perimeter and Other Measurements
Perimeter = 10s
Interior Angle = 144°
Circumradius = s/(2sin(π/10))
- Perimeter is simply 10 times side length
- Each interior angle is 144 degrees
- Circumradius relates to circumscribed circle
Applications
Architecture
Used in building design and floor plans
Engineering
Component design and structural analysis
Art and Design
Pattern creation and geometric art