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Geometry · Chapter 12 · Lesson 12.1 · Printable PDF

The Apothem of a Regular Polygon Worksheet with Answer Key

7 problems on the apothem of a regular polygon: apothem and radius, central angles, a square on coordinates, a heptagon badge, a plywood decagon table top, a hexagon, and a decagon garden bed. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable The apothem of a regular polygon worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find the apothem or radius of regular polygons from the other, exactly:
    Square, R = 5\sqrt{2}. Find a.Equilateral triangle, R = 14. Find a.Hexagon, R = 12. Find a.Square, a = 9. Find R.Equilateral triangle, height 12. Find R.
  2. Find the number of sides from the angle in the apothem triangle, and angles for a decagon.
  3. Find the radius, side, apothem and a point's position for a square on coordinates.
  4. Find the radius, apothem and side of a heptagon badge from its height.
  5. Find the side of the decagon plywood that fits a 120 cm table top.
  6. Find where points exactly 7 from the center lie on the edge of a regular hexagon.
  7. Find the side and width across the flats of a decagon bed on a circle drawn with a 3 m rope.

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The free lesson teaches it with worked examples and practice problems.

The apothem of a regular polygon: the lesson ›

More Chapter 12 worksheets: Area and volume