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Smallest Rectangle Covering Pentagon Covering Circle

Smallest Rectangle Covering Pentagon Covering Circle
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2015-05-29 23:27
CirclePolygonGeometric Construction
This example demonstrates how to use a rectangle to cover a pentagon, which in turn covers a circle. Key mathematical concepts include geometric construction, properties of polygons, and circles. Using GeoGebra commands such as Polygon, Segment, Midpoint, and Circle, the construction of the required geometric shapes is achieved. Suitable for students at the junior high school level and above to learn about geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 6) → poly1, a, F, b, c, d, e, f, C, D, E
  2. Segment(F, C) → g
  3. Midpoint(g) → MidPt
  4. Midpoint(a) → H
  5. Midpoint(d) → I
  6. Segment(H, I) → i
  7. Circle(Centr, 13) → h
  8. Point(h) → M
  9. Segment(M, Centr) → n
  10. Segment(G, J) → j
  11. OrthogonalLine(G, j) → k
  12. OrthogonalLine(J, j) → l
  13. Point(k) → K
  14. OrthogonalLine(K, k) → m
  15. Intersect(m, l) → L
  16. Segment(G, K) → p
  17. Segment(K, L) → q
  18. Segment(L, J) → r
  19. Polygon(J, G, K, L) → poly2, j_1, g_1, k_1, l_1
  20. PointIn(poly2) → Pointpoly2