Polygon Angle Calculator
Interior angle of n-gon.
Interior = 180(n−2)/n.
How the Math Works
The Polygon Angle Calculator determines the interior angle of any regular n-gon by dividing (n-2) by n and multiplying by 180 degrees. This works because every polygon can be divided into (n-2) triangles, and since each triangle contains 180 degrees, the total interior angles sum to 180(n-2) degrees. Dividing by the number of sides gives the measure of each equal interior angle in a regular polygon.
Practical Applications
To use this calculator, simply enter the number of sides your polygon has. For example, if you're designing a hexagonal tile pattern, input 6 to find each interior angle measures 120 degrees. This is essential for architects, designers, and craftspeople who need to cut materials at precise angles or verify geometric properties in their projects.
Day-to-Day Use
Understanding polygon angles helps in everyday situations like setting up picture frames, arranging furniture in angular layouts, or calculating the correct angle for roofing materials. It's also useful when playing board games or puzzles that involve geometric shapes, helping you make accurate cuts for DIY projects or understand the properties of everyday objects like stop signs and nuts and bolts.
FAQ
Triangle?
60° each.