Calculate the area and perimeter of a regular star polygon model.
Last updated: June 2026 | By Patchworkr Team
Enter a whole number of points and positive real radii.
This tool models a regular star shape with alternating outer and inner radii.
1. Enter the number of points.
2. Enter the outer and inner radii.
3. Read the live area and perimeter results.
For a 5-point star with R = 5 and r = 2:
area = 5 * 5 * 2 * sin(pi/5) ≈ 29.39
Yes, the tool expects a whole number of points.
No. That would collapse the star into a circle-like shape.
They model a regular star geometry with the given radii and point count.
Yes, as long as they are positive finite numbers.
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