Areas of Regular Polygons

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Letöltheted külön a .ggb fájlt, vagy az egész weboldalt diákoknak szóló feladatokkal együtt.

A GeoGebra nem-kereskedelmi licensz feltételeit elfogadom

• Offline anyag (.zip)

• GeoGebra fájlok

  1. Applet 1 (.ggb)
     
  2. Applet 2 (.ggb)
     
  3. Applet 3 (.ggb)
     
  4. Applet 4 (.ggb)
     
  5. Part 3: Finding our area would be a lot easier if all of our triangles were equally sized. Use the center given below and the polygon tool to make 6 equally sized triangles. (.ggb)
     
  6. Now that we have our polygon broken up into triangular slices we now just have to find the specific measurements of those triangles. (.ggb)
     
  7. First let's try to circumscribe the hexagon. Form a circle using the point G as your center and one of the corners of the hexagon as your radius. (.ggb)
     
  8. Now Measure the angle, was your initial assumption correct? (.ggb)
     
  9. Part 4: Now that we know that each angle near the center has a measure of 60 degrees lets focus in on that triangle and figure out its area (.ggb)
     
  10. Use the perpendicular bisector tool to bisect the triangle. (.ggb)
      
  11. Lets look at a general right triangle. (.ggb)
      
  12. Now that we know the height of the triangle we can finally try to find the area of the triangle. (.ggb)
      
  13. Part 5: Now putting the triangle back into the hexagon if there are six triangles in total, what would be the area of the hexagon. (.ggb)
      
  14. Applet 14 (.ggb)