What Is The Interior Angle Of A Regular Octagon
The angle where the two sides meet will be 135 degrees.
What is the interior angle of a regular octagon. The rule is that as the number of sides of a regular polygon increases then the external angle decreases while the interior angle increases the summation of the interior and external. Sum interior angles number of sides 2 1800 8 2 1800 10800 the sum of the interior angles of an octagon is 10800 in a regular octagon divide by 8 for each angle 1350. Octagons can be regular or irregular. If you use the formula 180n 2 where nthe number of sides plug in 8 for an octagon and you get 1080 as the sum of the interior angles.
Once you have figured out the total number of degrees for all the angles knowing whether the octagon is. In geometry octagon is also a polygon with eight segments and length of each of the sides would be equal. In fact each of the sides subtend an angle of 45 degrees at the center of the octagon which is the point of intersection of the diagonals. Any n sided polygon has interior angles that sum to 180n 2 degrees.
The external angle of a regular octagon is 225 degrees. For an octagon this is 180 x 6 ie 1080 degrees so the individual interior angles of a regular octagon are 135 degrees. This is a regular octagon whose sides are congruent. Since the figure is a regular octagon each exterior angle 3608 or 45 degrees.
In case of the. Each of the interior angle and the exterior angle would be measured as 135 degree or 45 degree. Each internal angle of a regular octagon is 135 degrees. Further measurement of each angle is also the same in the case of octagon.
An octagon is an eight sided shape such as a stop sign. No because each interior angle of a regular octagon measures 135 degrees but each interior and exterior angles add up to 180 degrees asked in math and arithmetic algebra geometry what is the. Sum interior angles number of sides 2 1800 8 2 1800 10800 the sum of the interior angles of an octagon is 10800 in a regular octagon divide by 8 for each angle 1350.
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