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 121 m A 242 m2 B 363 m2 C 484 m2 D 968 m2 Here is a picture if you need it class=

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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