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Area & Perimeter

Area & Perimeter
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2017-03-22 12:21
Coordinate GeometryOptimizationGeometric Construction
This example demonstrates the calculation and visualization of areas and perimeters of polygons and circles. It involves core math concepts like area, perimeter, statistical characteristics, step functions, linear programming, 2D vectors, and quadratic equations. Construction highlights include commands like Sequence, Polygon, Circle, Point, and objects such as unitsize, base, height, A, list1, etc. Suitable for high school mathematics teaching, focusing on geometric calculations and optimization problems.

GeoGebra Commands & Parameters

  1. Sequence((x(A) + (unitsize * i), y(A)), i, 1, base) → list1
  2. Sequence((x(A) + (unitsize * i), y(A) + (height * unitsize)), i, 1, base) → list2
  3. Sequence((x(A), y(A) + (unitsize * i)), i, 1, height) → list3
  4. Sequence((x(A) + base, y(A) + (unitsize * i)), i, 1, height) → list4
  5. Polygon(A, Element[list1, base], Element[list2, base], Element[list3, height]) → poly1, a, b, c, d
  6. Circle(B, unitsize) → f
  7. Point(f) → C
  8. Circle(C, unitsize) → g
  9. Polygon(B, C, 4) → poly2, h, i, j, k, D, E
  10. Sequence(Segment[(x(A), y(A) + (unitsize * i)), (x(A) + (base * unitsize), y(A) + (unitsize * i))], i, 0, height) → dottedhorizontals
  11. Sequence(Segment[(x(A) + (unitsize * i), y(A)), (x(A) + (unitsize * i), y(A) + (height * unitsize))], i, 0, base) → dottedverticals

AI Drawing Prompt Reference

Draw a rectangle with points, and a circle around one vertex, then another smaller circle centered on the first circle's center. Fill and label the area and perimeter of the rectangle and both circles. Use dashed lines to show the rectangle's horizontal and vertical sides, illustrating its construction.
The prompt above was compiled from the original drawing commands and is for reference only.