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Circle Ring Calculations

Circle Ring Calculations
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2024-12-19 16:42
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This example demonstrates how to calculate the area of different sectors within a circle ring, such as semicircles, quarter circles, and eighth circles. The core mathematical concepts involved include the area formula for circles and its application to specific regions. The construction utilizes GeoGebra commands like Textfield, Shuffle, Element, If, Polygon, Circle, Segment, Ray, Intersect, Remov

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Shuffle(Sequence[Random[1, 15], i, 1, 100]) → randomNosForX, {8, 7, 14, 9, 8, 5, 6, 12, 9, 9, 9, 14, 6, 7, 12, 15, 11, 1, 8, 5, 3, 15, 2, 7, 14, 3, 14, 2, 9, 11, 11, 15, 14, 10, 12, 3, 12, 10, 9, 11, 8, 15, 7, 14, 3, 5, 12, 6, 14, 2, 1, 6, 13, 14, 10, 3, 14, 8, 5, 2, 7, 12, 3, 9, 9, 15, 9, 15, 8, 10, 13, 15, 8, 14, 1, 10, 6, 7, 13, 5, 13, 13, 14, 8, 9, 14, 9, 7, 13, 6, 1, 2, 7, 10, 9, 8, 8, 13, 7, 10}
  4. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  5. Shuffle(Sequence[Random[1, 99], i, 1, 100]) → randomNosForY, {40, 46, 21, 16, 38, 82, 66, 26, 45, 67, 19, 94, 38, 19, 21, 25, 77, 34, 18, 88, 71, 94, 75, 64, 84, 86, 43, 29, 80, 78, 7, 90, 41, 4, 51, 43, 3, 7, 12, 45, 24, 37, 77, 31, 10, 5, 6, 58, 48, 60, 68, 66, 11, 65, 3, 37, 43, 27, 92, 61, 4, 77, 65, 34, 16, 51, 26, 8, 47, 60, 58, 57, 84, 90, 32, 1, 97, 27, 75, 50, 11, 54, 39, 99, 25, 2, 69, 17, 16, 52, 63, 64, 65, 6, 31, 86, 42, 43, 4, 74}
  6. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  7. Shuffle(Sequence[Random[1, 15], i, 1, 100]) → randomNosForX_1, {7, 2, 3, 14, 9, 11, 3, 6, 11, 14, 12, 7, 12, 3, 1, 12, 12, 13, 5, 6, 6, 3, 15, 10, 8, 1, 6, 9, 15, 12, 13, 3, 8, 2, 2, 9, 14, 2, 11, 7, 5, 13, 13, 7, 6, 11, 12, 12, 6, 2, 3, 6, 9, 4, 10, 3, 8, 2, 5, 1, 4, 2, 8, 10, 11, 7, 10, 5, 9, 10, 2, 15, 1, 3, 2, 3, 12, 3, 15, 5, 3, 9, 6, 9, 11, 4, 7, 8, 1, 6, 10, 7, 13, 4, 1, 8, 6, 1, 5, 12}
  8. Shuffle(Sequence[Random[1, 99], i, 1, 100]) → randomNosForY_1, {14, 24, 7, 45, 81, 53, 23, 94, 77, 41, 88, 31, 93, 83, 31, 37, 90, 65, 75, 32, 16, 24, 46, 4, 85, 9, 51, 23, 12, 72, 53, 35, 38, 2, 67, 14, 33, 49, 43, 72, 94, 10, 84, 70, 78, 2, 46, 20, 4, 82, 70, 53, 64, 37, 89, 64, 69, 73, 50, 10, 82, 13, 50, 79, 37, 61, 14, 20, 70, 53, 23, 94, 99, 99, 23, 83, 77, 69, 25, 76, 18, 73, 39, 53, 35, 67, 72, 11, 27, 19, 71, 75, 49, 89, 77, 6, 5, 78, 68, 19}
  9. Element(randomNosForX_1, Mod[questionCount, 100] + 1) → numX_1
  10. Element(randomNosForY_1, Mod[questionCount, 100] + 1) → numY_1
  11. If(rad1 > rad2, rad1, rad2) → radius1
  12. If(rad1 > rad2, rad2, rad1) → radius2
  13. If(Mod[questionCount, 2] ≟ 0, sol_a ≤ input1 ≤ sol_a, sol_u ≤ input1 ≤ sol_u) → correct
  14. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  15. Circle(M, B) → c
  16. Segment(M, B) → r_{1}
  17. Ray(B, M) → g
  18. Intersect(c, g) → C, D
  19. RemoveUndefined({floor(input1 / 10), Mod[floor(input1), 10], floor(Mod[round((input1 * 100)), 100] / 10), Mod[round((input1 * 100)), 10]}) → listInput
  20. RemoveUndefined({floor(sol_u / 10), Mod[floor(sol_u), 10], floor(Mod[round((sol_u * 100)), 100] / 10), Mod[round((sol_u * 100)), 10]}) → listSol_u
  21. Circle(M, E) → d
  22. Segment(M, E) → r_2
  23. Circle(M, B) → e
  24. Circle(M, E) → f
  25. Mod((input1 * 1000), 10) → hintRunden
  26. RemoveUndefined({floor((sol_a) / 10), Mod[floor(sol_a), 10], floor(Mod[round((sol_a * 100)), 100] / 10), Mod[round((sol_a * 100)), 10]}) → listSol_a
  27. CountIf(x ≠ 0, listInput) → digitsInput
  28. If(Mod[questionCount, 2] ≟ 0, CountIf[x ≠ 0, listSol_a], CountIf[x ≠ 0, listSol_u]) → digitsSol