Find the sum of the interior angles of a 360-sided polygon.
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The angle formula is 1 8 0 n − 3 6 0 .
We substitute n = 3 6 0 to the formula, so 1 8 0 × 3 6 0 − 3 6 0 .
Since 1 8 0 × 3 6 0 − 3 6 0 equals to 1 8 × 1 8 × 2 × 1 0 × 1 0 − 3 6 0 , we get 1 8 × 1 0 × 1 8 × 1 0 × 2 − 3 6 0 = 3 2 4 × 1 0 0 × 2 − 3 6 0 = 6 4 8 × 1 0 0 − 3 6 0 = 6 4 8 0 0 − 3 6 0 = 6 4 4 4 0 .
So the answer is 6 4 4 4 0 .
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use the formula (n - 2) * 180, where n is the number of sides.
we get, (360 - 2) * 180 = 64440