Find the area of a regular octagon (8-sided polygon) with a side length of 12 cm and anapothem of 14.5 cm.

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03-11-2022
Mathematics

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Find the area of a regular octagon (8-sided polygon) with a side length of 12 cm and anapothem of 14.5 cm.

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DarianaS349408 DarianaS349408 · Answer 1 · 2022-11-03T03:36:54-04:00

DarianaS349408 DarianaS349408

03-11-2022

Given:

Side Length = 12cm

apothem = 14.5cm

We are to find the area of the regular octagon

By joining all the verteces to the centre of the octagon, the apothem forms the height of the triangles with the side of the regular octagon as the base.

So,

The Area is 8 x area_triangle = 8 x 1/2 x side x apothem is witrh f

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