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How many sides on a polygon with the sum of the interior angles is 6840?
Wiki User
∙ 11y ago
If the polygon has n sides, the sum of the interior angles is (n - 2)*180 degrees.
So (n - 2)*180 = 6840
(n - 2) = 6840/180 = 38
So n = 38 + 2 = 40 sides.
Wiki User
∙ 11y ago
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Interior angles of a 40-gon?
The sum of the interior angles of an n-gon is (n-2)*180 degrees. So, for a 40-gon, the sum of the interior angles would be 38*180 = 6840 degrees. If the 40-gon was not regular that is as far as you could go. But if it was a regular n-gon, then all its interior angles are equal, and each would be of 6840/40 = 171 degrees.
What is the number of sides of a regular polygon if one angle measures 171 degrees?
The formula to find the sum of the angles of a polygon is: 180(n - 2) Since we know that one angle of this regular polygon is 171 degrees, we can find what kind of polygon it will be, using the formula: 180(n - 2) = 171n 180n - 360 = 171n 180n - 171n = 360 9n = 360 n = 360/9 n = 40 Thus the polygon is a 40-sided polygon. Check: 180(40 - 2) = 180(38) = 6840, which is the sum of the angles of the polygon. 6840/40 = 171 degrees, which is the measure of one of the angles of that polygon .
How many times does 45 go into 6840?
6840 ÷ 45 = 152
What percent is 6840 out of 38000?
(try to simplify the fraction first) 6840/38000 = 684/3800 = 18/100 = 18 %
What are common multiples of 360?
It depends upon the other number(s) with which 360 has COMMON multiples; it will be a subset of the multiples of 360, that is a subset of:360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600, 3960, 4320, 4680, 5040, 5400, 5760, 6120, 6480, 6840, 7200, 7560, 7920, 8280, 8640, 9000, 9360, 9720, 10080, 10440, 10800, 11160, 11520, 11880, 12240, 12600, 12960, 13320, 13680, 14040, 14400, 14760, 15120, 15480, 15840, 16200, 16560, 16920, 17280, 17640, 18000, 18360, 18720, 19080, 19440, 19800, 20160, 20520, 20880, 21240, 21600, 21960, 22320, 22680, 23040, 23400, 23760, 24120, 24480, 24840, 25200, 25560, 25920, 26280, 26640, 27000, 27360, 27720, 28080, 28440, 28800, 29160, 29520, 29880, 30240, 30600, 30960, 31320, 31680, 32040, 32400, 32760, 33120, 33480, 33840, 34200, 34560, 34920, 35280, 35640, 36000, ...
How many sides does a polygon have when the interior angles add up to 6840?
There are: (6840+360)/180 = 40 sides
What are the sum of the interior angles of a polygon with 40 sides?
The interior angles add up to 6840 degrees
If the sum of the interior angles of a polygon is 6840 how many sides does it have?
sum interior angles = (number of side - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 6840° ÷ 180° + 2 = 40 It has 40 sides.
What is the sum of the interior angles of a polygon with 40 sides?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 6840 degrees
What is the interior of a 40 side polygon?
The interior angles of a 40 sided polygon add up to 6840 degrees
What is the sum of interior angles of a 40 sided polygon?
180*(40-2) = 180*38 = 6840 degrees.
What is the total measure of the angles of a forty sided polygon?
Exterior angles add up to 360 degrees Interior angles add up to 6840 degrees
Interior angles of a 40-gon?
The sum of the interior angles of an n-gon is (n-2)*180 degrees. So, for a 40-gon, the sum of the interior angles would be 38*180 = 6840 degrees. If the 40-gon was not regular that is as far as you could go. But if it was a regular n-gon, then all its interior angles are equal, and each would be of 6840/40 = 171 degrees.
What is the number of sides of a regular polygon if one angle measures 171 degrees?
The formula to find the sum of the angles of a polygon is: 180(n - 2) Since we know that one angle of this regular polygon is 171 degrees, we can find what kind of polygon it will be, using the formula: 180(n - 2) = 171n 180n - 360 = 171n 180n - 171n = 360 9n = 360 n = 360/9 n = 40 Thus the polygon is a 40-sided polygon. Check: 180(40 - 2) = 180(38) = 6840, which is the sum of the angles of the polygon. 6840/40 = 171 degrees, which is the measure of one of the angles of that polygon .
Does a 40 sided polygon have 6840 diagonals?
The sum of the angles of a regular n-sided polygon is equal to (n - 2) x 180 degrees.Therefore, the sum of the angles of a regular 40-sided polygon (tetradecagon) is equal to (40 - 2) x 180 = 6840 degrees. Therefore, 6840 refers to the sum of the degrees, not the number of diagonals.The number of diagonals of an n-sided polygon is given by n(n-3)/2. So a 40-sided polygon has 40*37/2=740 diagonals.
What is the sum of the interior of a 40 gon?
6840 degrees
How many times does 45 go into 6840?
6840 ÷ 45 = 152
