perplexus.info :: Geometry : Parabolas hugging a hexagon

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)

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Puzzle Thoughts

| Comment 6 of 8 |

1) 3.0792014:1

2 )3.3723412:1

3) 59 / 27 = 2.185185

Edited on July 13, 2023, 9:28 am

Posted by K Sengupta on 2023-07-13 09:27:48

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