
Geometry
Regular Polygon Angles Worksheets
Find one interior angle, one exterior angle and the interior-angle sum for regular polygons with five through twelve sides.
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Identify regular polygons and calculate area or perimeter from side lengths and clearly marked approximate apothems, with worked answers.
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Name each polygon and find the requested measurements. Use the displayed apothem and round area to two decimal places.
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Customize this worksheetThe apothem is perpendicular to a side and is displayed to four decimal places. Use that displayed approximation for A = nsa/2, then round area to two decimal places. Whole-number mode changes the side length only.
Learning objective
Use P = ns and A = Pa ÷ 2 to measure regular polygons.
Worked example
Perimeter = 24 cm; area ≈ 41.57 cm².
P = 6 × 4 = 24. Using the displayed apothem, A ≈ 24 × 3.4641 ÷ 2 = 41.5692, which rounds to 41.57 cm².
Teaching notes
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Nine diagrams ask for the polygon type and your selected measurements. Whole-number mode applies only to side lengths; area uses the displayed four-decimal-place approximate apothem.
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