beautifulmusic2719 beautifulmusic2719
  • 14-06-2022
  • Mathematics
contestada


The diagram below shows a square inside a regular octagon. The apothem of
the octagon is 15.69 units. To the nearest square unit, what is the area of the
shaded region?

Respuesta :

vintechnology vintechnology
  • 23-06-2022

The area of the shaded portion in the octagon is 647units²

How to find the area of the shaded portion?

The area of the shaded portion can be found as follows;

area of shaded portion = area of octagon - area of square

area of octagon = 1 / 2 ap

where

  • a = apothem
  • p = perimeter

Therefore,

p = 13 × 8 = 104 units

a = 15.69

area of octagon = 1 / 2 × 15.69 × 104 = 815.88 units²

area of square = 13 × 13 = 169 units²

area of shaded portion = 815.88 - 169 = 646.88  = 647units²

learn more on area here: https://brainly.com/question/12387413

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