Star Shape Calculator
Calculate the area, perimeter, and other properties of regular star polygons.
Star Shape Formulas
Area
A = n × (R² - r²) × sin(π/n)
where n is the number of points, R is the outer radius, and r is the inner radiusPerimeter
P = 2n × √(R² + r² - 2Rr × cos(π/n))
where n is the number of points, R is the outer radius, and r is the inner radiusCentral Angle
θ = 360° / n
where n is the number of points
Note: The inner radius must be less than the outer radius for a valid star shape.
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