29+ What Is The Sum Of The Interior Angles Of An Octagon? Background

29+ What Is The Sum Of The Interior Angles Of An Octagon?
Background. Another example the interior angles of a pentagon add up to 540°. There's a simple way to calculate the sum of all the interior angles of an octagon, or any polygon.

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5 diagonals each originating from a are drawn.these diagonals divide the octagon into 6 triangles. Learn vocabulary, terms and more with flashcards, games and other study tools. Regular polygons exist without limit (theoretically), but as you get more and more sides, the polygon looks more and more like a circle.

Divide 1,080 by eight to find the measure of each interior angle if the octagon is regular.

For an octagon this is 180 x 6 ie 1080 degrees (so the individual interior angles of a regular octagon are 135 degrees). Worksheet using the formula for the sum of interior angles. Properties of octagons, interior angles of octagons. Sum of interior angles of a polygon.

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A regular polygon is a polygon whose sides are of equal length.

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The formula for finding the sum of the interior angles of a polygon is the same, whether the polygon is regular or irregular.

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To find the measure of an interior angle of a regular octagon, which has 8 sides, apply the formula above as follows:

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Sum of interior angles of a polygon.

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We already know that the sum of the interior angles of a triangle add up to 180 degrees.

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Although polygons do have official names, many mathematicians refer to some of the many sided figures by just using the number of sides followed to determine the total sum of the interior angles, you need to multiply the number of triangles that form the shape by 180°.

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Houses and rooms are sometimes built in an octagonal shape (pronounced:

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Sum of interior angles of a regular octagon.

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Regular polygons exist without limit (theoretically), but as you get more and more sides, the polygon looks more and more like a circle.