Mnogougao Flashcards

1
Q

Broj dijagonala koje se mogu povući iz jednog temena mnogougla formula

A

dn=n−3

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2
Q

Broj dijagonala mnogougla

A

Dn=(𝑛⋅(𝑛−3))/2

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3
Q

Zbir unutrašnjih uglova mnogougla

A

Sn=(n−2)⋅180°

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3
Q

Zbir spoljašnjih uglova mnogougla iznosi

A

S′n=360°

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3
Q

Pravilni mnogougao je

A

mnogougao koji ima jednake stranice i jednake uglove.

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4
Q

Unutrašnji ugao pravilnog mnogougla

A

α =𝑆𝑛/𝑛=(𝑛−2)/𝑛⋅180°

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5
Q

Spoljašnji ugao pravilnog mnogougla

A

α1 =360°/𝑛
α1 = 180∘−α

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6
Q

Centralni ugao pravilnog mnogougla

A

φ =360°/𝑛=α1

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7
Q

Obim i povrsina trougla

A

P3 =𝑎2√3/4
O=3⋅a
P=3⋅((𝑎⋅𝑟𝑢)/2)

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8
Q

Obim i povrsina sestougla

A

O=6⋅a
P6=6⋅((𝑎*2√3)/4)
P=6⋅((𝑎⋅𝑟𝑢)/2)

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9
Q

Obim i povrsina petougla

A

O=5⋅a
P=5⋅((𝑎⋅𝑟𝑢)/2)

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