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lyraduncan2001
lyraduncan2001 lyraduncan2001
  • 17-03-2015
  • Mathematics
Answered

What is the area of the regular octagon with a side length of 10 m and an apothem of 12.1 m?


A.

242 m2


B.

363 m2


C.

484 m2


D.

968 m2


Here is a picture if you need it.

What is the area of the regular octagon with a side length of 10 m and an apothem of 12.1 m? A. 242 m2 B. 363 m2 C. 484 m2 D. 968 m2 Here is a picture if you ne class=

Verified Answer :

iGreen
iGreen iGreen
  • 17-03-2015

A = 2 a^2 (1 + sqrt 2)

Where 'a' is the side length.

A = 2 10^2 (1 + sqrt 2)

A = 2 10^2  2.41421356

A = 2 100 2.41421356

A = 200 * 2.41421356

A = 482.842712

Therefore, the closest one is C.

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