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