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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
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#geometry
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
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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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