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Find a point angle of a regular seven-point star

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SVP
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Find a point angle of a regular seven-point star [#permalink]

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New post 19 Dec 2003, 10:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Find a point angle of a regular seven-point star.

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Director
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New post 19 Dec 2003, 11:34
interior angles adds to : 540 (360+180)

540/7 =~ 77.1

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77.x [#permalink]

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New post 19 Dec 2003, 13:01
Close to DJ's answer but dont understand his approach.

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Re: 77.x [#permalink]

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New post 19 Dec 2003, 13:04
mantha wrote:
Close to DJ's answer but dont understand his approach.


simplified septagram is a quard + a triangle.
sum of angles= (360 + 180) = 540

it's a regular septa., thus, 540/7

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New post 19 Dec 2003, 14:31
agree partially with wondergmat, 360/7=51,4 but think we should divide this by 2 since this is an interior angle. If the star is 5 point 360/5= 72┬░ this is the degree of the respective sector of the circle , but the point angle is 72/2=36┬░, if i understand correctly what point angle means. My answer is 51.4/2=25.7┬░

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 [#permalink]

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New post 20 Dec 2003, 08:09
yeah... a correct approach. Inscribe a septigram into a circle and play with central angles.

PA=360/[7*2]=360/14=25.71

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 [#permalink]

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New post 20 Dec 2003, 08:12
yeah... a correct approach. Inscribe a septigram into a circle and play with central angles.

PA=360/[7*2]=360/14=25.71

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New post 20 Dec 2003, 09:26
yes indeed. I drew it like this and that was a blunder :(
Attachments

untitled.JPG
untitled.JPG [ 7.92 KiB | Viewed 1281 times ]

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 [#permalink]

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New post 21 Dec 2003, 01:54
it is not a regular star

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New post 21 Dec 2003, 04:12
Is it possible without any other information provided?

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New post 21 Dec 2003, 15:18
Could anyone please define a point angle.
Thanks

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  [#permalink] 21 Dec 2003, 15:18
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Find a point angle of a regular seven-point star

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