Given a square with area of 9 square units, find the area of the regular hexagon of the same perimeter? Solution: S = 1246 = 2 apothem = 2 a = √3 area = 24 tan tan (π (1-2)) (n- (π (6-2)) san 을 + (2) (3) (6) ama = 10.3923 sq. units

Given a square with area of 9 square units, find the area of the regular hexagon of the same perimeter? Solution: S = 1246 = 2 apothem = 2 a = √3 area = 24 tan tan (π (1-2)) (n- (π (6-2)) san 을 + (2) (3) (6) ama = 10.3923 sq. units

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Please explain how to get the answer in the simplest way. Thank you

Given a square with area of 9 square units, find
the area of the regular hexagon of the same
perimeter?
Solution: S = 1246 = 2
apothem = S
2
a
tan
area =
(π (1-2))
•//ton ( 2 (6-21)
= √3
114
san
= // (2) (3) (6)
= 10.3923
.
units

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