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Geometry · Chapter 10 · Lesson 10.14 · Printable PDF

Regular Polygons and Their Circles Worksheet with Answer Key

6 problems on regular polygons and their circles: central angles, number of sides, car wheel bolts, an inscribed octagon, repeated turns, the ring between circles, and a proof about diagonals. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Regular polygons and their circles worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find the central angle and number of sides from each fact about a regular polygon.
  2. Find angles and distances for six wheel bolts around a circle of diameter 96 mm.
  3. Find the distance, area and side length for a regular octagon inscribed in a circle.
  4. Count how many marks a designer makes by turning 80 degrees each time.
  5. Compare the ring areas between circles for a square and a hexagon.
  6. Prove two diagonals of a regular polygon are congruent using triangles AOC and BOD.

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

Regular polygons and their circles: the lesson ›

More Chapter 10 worksheets: Circles