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Geometry · Chapter 11 · Lesson 11.7 · Printable PDF

Equilateral Triangle, Square and Hexagon in a Circle Worksheet with Answer Key

7 problems on equilateral triangle, square and hexagon in a circle: two circles through each other's centers, a regular hexagon with diagonals, a hexagonal deck, building 120, 150 and 75 degree angles, stepping a compass, and star shapes. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Equilateral triangle, square and hexagon in a circle worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find AB and the area of a rhombus from two circles through each other's centers.
  2. Find angles and a length in a constructed regular hexagon with crossing diagonals.
  3. Find the edge, the width across corners and other measures of Hannah's hexagonal deck.
  4. Describe how to construct 120, 150 and 75 degree angles with compass and straightedge.
  5. Decide what happens when a compass of a given width steps around a circle.
  6. Compare a square in a circle with the larger square from perpendicular lines at its corners.
  7. Find the lengths in a six-pointed star made of two equilateral triangles.

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Equilateral triangle, square and hexagon in a circle: the lesson ›

More Chapter 11 worksheets: Constructions