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It is a polygon (a shape with more than 3 sides) where all of it's lengths are the same, and all of its angles are the same size.
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The sum of the interior angles of a regular polygon?
The sum of the interior angles of a n-sided polygon is (n-2)*180 degrees. This is true whether or not the polygon is regular.
How many triangles does a 1002 sided polygon have?
Any n-sided polygon (n being any integer) will always have a minimum of n-2 triangles inside the shape, assuming that the polygon is regular with no reflex angles.
What is the angle measure for a regular polygon?
The sum of the internal angles of an n-sided polygon is (n-2)*180 degrees. So, for a regular polygon, each internal angle is (n-2)*180/n degrees.
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 a regular four-sided polygon?
A square is a regular four-sided polygon.
What is the interior angle of a regular 24 sided polygon?
interior angle of an n-sided polygon = (180(n-2)/n)°interior angle of a 24-sided polygon = (180x22/24)° = 165°
What is the measure in degrees of each central angle of a regular 15-sided polygon?
The central angle of a n-sided regular polygon = 360 degrees / n. Hence, the central angle of a 15-sided regular polygon = 360 degrees / 15 = 24 degrees ============================
The sum of the interior angles of a regular polygon?
The sum of the interior angles of a n-sided polygon is (n-2)*180 degrees. This is true whether or not the polygon is regular.
What is the Sum of the exterior angles of a seven sided polygon?
The sum of the exterior angles of any n-sided regular polygon, including a seven-sided polygon, is 360 degrees.
If the interior angle of a polygon is 170 degrees can it be a regular polygon?
N sided polygon interior angles total 180n - 360, if it is regular then each angle is 180 - 360/n which in this case = 170 Multiply throughout by n: 180n - 360 = 170n ie 10n = 360 so your polygon is regular and 36 sided.
How many triangles does a 1002 sided polygon have?
Any n-sided polygon (n being any integer) will always have a minimum of n-2 triangles inside the shape, assuming that the polygon is regular with no reflex angles.
What is the angle measure for a regular polygon?
The sum of the internal angles of an n-sided polygon is (n-2)*180 degrees. So, for a regular polygon, each internal angle is (n-2)*180/n degrees.
What is a regular four-sided polygon?
A square is a regular four-sided 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.
Work out the exterior and interior angles of a regular polygon with 15 sides?
The sum of the exterior angles of a polygon is 360o, so for a regular n-sided polygon, each is 360o/n. The interior and exterior angles of a polygon are supplementary, that is sum to 180o. For a regular 15 sided polygon: exterior_angle = 360o / 15 = 24o interior_angle = 180o - exterior_angle = 180o - 24o = 156o Alternatively: The sum of the interior angles of a n-sided polygon is (n-2) x 180o, so for a regular n-sided polygon each interior angle is (n-2) x 180o / n. For a 15 sided polygon: interior_angle = (15 - 2) x 180o / 15 = 13 x 12o = 156o exterior_angle = 180o - interior_angle = 180o - 156o = 24o.
What is a five-sided polygon?
A five-sided polygon is called a pentagon. A regular five-sided polygon is simply called a regular pentagon
What is the measure of 1 angle assuming the polygon is regular?
The sum of the internal angles of an n-sided polygon is (n-2)*180 degrees. So, for a regular polygon, each internal angle is (n-2)*180/n degrees.
