> #mathematics , #polygons , #geometry > What is the number of sides of a regular polygon whose interior angles adds up to 4 complete revolutions?
Anonymous
Mar 5

What is the number of sides of a regular polygon whose interior angles adds up to 4 complete revolutions?

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Mar 5
The sum of the interior angles of a polygon can be found using the formula (n-2) * 180 degrees, where n is the number of sides of the polygon.

Since 4 complete revolutions is equal to 4 * 360 = 1440 degrees, we can set up the equation:

(n-2) * 180 = 1440

Solving for n:

n - 2 = 1440 / 180
n - 2 = 8
n = 10

Therefore, the regular polygon has 10 sides.
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