Star Shape Calculator - Multi-Tools

Star Shape Calculator

Calculate the area, perimeter, and other properties of regular star polygons.

A = n × (R² - r²) × sin(π/n)

where n is the number of points, R is the outer radius, and r is the inner radius

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 radius

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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