How Many Sides Does A Polygon Have If The Sum Of The Interior Angles Is 3960

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How Many Sides Does A Polygon Have If The Sum Of The Interior Angles Is 3960
How Many Sides Does A Polygon Have If The Sum Of The Interior Angles Is 3960


How Many Sides Does A Polygon Have If The Sum Of The Interior Angles Is 3960 -

To find the interior angle sum of a polygon we can use a formula interior angle sum n 2 x 180 where n is the number of sides For example a pentagon has 5 sides so its interior

The sum of the interior angles measures 360 We can therefore deduce that for each polygon with an additional side has 180 more than the previous figure This forms an

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You can start with the formula for the sum of the interior angles S of a regular polygon of n sides Since you know that this sum is 1440 degrees you can substitute this into the formula

3960 180 n 2 3960 180 n 2 22 n 2 22 2 n 24 n n 24 So there are 24 sides

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To find the sum of interior angles of a polygon multiply the number of triangles in the polygon by 180 The formula for calculating the sum of interior angles is n 2

Sum of all the exterior angles of any polygon is 360 As sum of all the interior angles of the polygon is 3960 Sum of all pairs of exterior and interior angles is 3960

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The sum of the interior angles measures 360 We can therefore deduce that for each polygon with an additional side has 180 more than the previous figure This forms an

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To find the number of sides of a polygon when given the sum of interior angle we use the formula Sum of interior angles n 2 180 where n is the number of sides

The sum of the interior angles measures 360 We can therefore deduce that for each polygon with an additional side has 180 more than the previous figure This forms an

To find the number of sides of a polygon when given the sum of interior angle we use the formula Sum of interior angles n 2 180 where n is the number of sides

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