A regular pentagon is inscribed in ur let of radius 8cm. find the length of one side of the polygon
1 answer:
9514 1404 393
Answer:
9.404 cm
Step-by-step explanation:
A regular polygon with n sides inscribed in a circle of radius r will have a side length given by ...
s = 2r·sin(180°/n)
For r = 8 and n = 5, this gives a side length of ...
s = 2·8·sin(180°/5) = 16·sin(36°) ≈ 9.404 . . . cm
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L=2W-4
PERIMETER=2L+2W
58=2(2W-4)+2W
58=4W-8+2W
58=6W-8
6W=58+8
6W=66
W=66/6
W=11 ANS. FOR THE WIDTH.
L=2*11-4
L=22-4
L=18 ANS. FOR THE LENGTH.
PROOF:
58=2*18=2*11
58=36+22
58=58
Answer:7.5
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