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What is the number of sides for a polygon whose exterior is 72?
If it's a regular polygon and each exterior angle measures 72 degrees then it is a pentagon which has 5 sides
If a regular polygon has exterior angles that measure 36 then how many sides does the poygon have?
The sum of the exterior angles of any polygon is always 360 degrees. To find the number of sides of a regular polygon with an exterior angle of 36 degrees, you can divide 360 by 36. This calculation shows that the polygon has 10 sides, making it a decagon.
How do you work out the number of sides in a regular polygon that has an exterior angle?
With a regular polygon: 360/exterior angle = number of sides
What is the sum exterior angle of a 36 sided polygon?
The sum of the exterior angles of any polygon is 360 degrees. If the polygon is regular then each exterior angle is 360 divided by the number of sides, so in this case each angle will be 10 degrees.
Is it possible to have a regular polygon with measure of each exterior angle of 22?
No, it is not possible to have a regular polygon with each exterior angle measuring 22 degrees. The sum of all exterior angles of any polygon is always 360 degrees, and the measure of each exterior angle of a regular polygon can be calculated using the formula ( \frac{360}{n} ), where ( n ) is the number of sides. Setting ( \frac{360}{n} = 22 ) gives ( n = \frac{360}{22} \approx 16.36 ), which is not a whole number. Therefore, a regular polygon with each exterior angle of 22 degrees cannot exist.
What is the measure ofr a regular polygon with an exterior angle of 18.95?
There can be no such polygon. The sum of the exterior angles of ANY polygon is 360 degrees. If it is a regular polygon, then the number of angles MUST divide 360 degrees. Since 18.95 does not divide 360, there cannot be such a polygon. If the exterior angle was 18.94737... degrees, it would be a 19-sided polygon.
What is the sum of the measures of the exterior angles of a regular polygon with ten sides?
The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.
What is the number of sides for a polygon whose exterior is 4 degrees?
The sum of the exterior angles of a polygon is 360 degrees. If it is a regular polygon, then it has 360/4 = 90 vertices and so 90 sides.
How do you get the number of sides of a regular polygon with a given exterior angle?
By dividing the given exterior angle into 360 degrees tells you how many sides the polygon has.
If each exterior angle of a regular polygon measures 40 degrees what is the total number of sides in the polygon?
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
What is the number of sides for a polygon whose exterior is 72?
If it's a regular polygon and each exterior angle measures 72 degrees then it is a pentagon which has 5 sides
If a regular polygon has exterior angles that measure 36 then how many sides does the poygon have?
The sum of the exterior angles of any polygon is always 360 degrees. To find the number of sides of a regular polygon with an exterior angle of 36 degrees, you can divide 360 by 36. This calculation shows that the polygon has 10 sides, making it a decagon.
The measure of each exterior angle of a regular polygon is 18 degrees Find the number of sides of the regular polygon?
360/18 = 20 sides
How do you work out the number of sides in a regular polygon that has an exterior angle?
With a regular polygon: 360/exterior angle = number of sides
What is the sum exterior angle of a 36 sided polygon?
The sum of the exterior angles of any polygon is 360 degrees. If the polygon is regular then each exterior angle is 360 divided by the number of sides, so in this case each angle will be 10 degrees.
Is it possible to have a regular polygon with measure of each exterior angle of 22?
No, it is not possible to have a regular polygon with each exterior angle measuring 22 degrees. The sum of all exterior angles of any polygon is always 360 degrees, and the measure of each exterior angle of a regular polygon can be calculated using the formula ( \frac{360}{n} ), where ( n ) is the number of sides. Setting ( \frac{360}{n} = 22 ) gives ( n = \frac{360}{22} \approx 16.36 ), which is not a whole number. Therefore, a regular polygon with each exterior angle of 22 degrees cannot exist.
How many sides does a regular polygon have if each exterior angle measures 30 degrees?
The number of sides in a regular polygon can be determined by dividing 360 degrees (the sum of all exterior angles in any polygon) by the measure of each exterior angle. In this case, if each exterior angle measures 30 degrees, the polygon will have 12 sides.
