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 Parabolas hugging a hexagon (Posted on 2023-07-07)
Part 1:
Regular hexagon ABCDEF is surrounded by two parabolas. One contains A,B,C,D and the other contains D,E,F,A. What is the ratio between the area of the intersection of the parabola's interiors to the area of the hexagon?

Part 2:
Regular hexagon ABCDEF is surrounded by two parabolas. One contains A,B,C,D and the other contains C,D,E,F. What is the ratio between the area of the intersection of the parabola's interiors to the area of the hexagon?

Part 3:
Regular hexagon ABCDEF is surrounded by two parabolas. One contains A,B,C,D and the other contains B,C,D,E. What is the ratio between the area of the intersection of the parabola's interiors to the area of the hexagon?

 No Solution Yet Submitted by Jer Rating: 4.3333 (3 votes)

 Subject Author Date More hugging... Steven Lord 2023-07-28 22:07:45 Summary of results Steven Lord 2023-07-13 17:42:35 Puzzle Thoughts K Sengupta 2023-07-13 09:27:48 Kahoot Login satipa 2023-07-13 03:46:41 re: Approximation for part 3 satipa 2023-07-13 03:45:44 exact for part 3 Steven Lord 2023-07-11 01:45:08 Approximation for part 3 Steven Lord 2023-07-10 03:50:32 soln Steven Lord 2023-07-09 07:29:09

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