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What is the formula to find the sides of a regular polygon?
360/exterior angle = number of sides of a regular polygon
How do you work out the amount sides a polygon has with only the exterior angle?
If it is a regular polygon then divide the exterior angle into 360 degrees to find the amount of sides it has because the exterior angles of any polygon add up to 360 degrees.
What regular polygon has an exterior angle of 40 degrees?
A regular polygon with an exterior angle of 40 degrees is a regular 9-gon, or nonagon. The formula for the exterior angle of a regular polygon is given by (360^\circ/n), where (n) is the number of sides. To find (n), you can set (360^\circ/n = 40^\circ), which leads to (n = 360^\circ / 40^\circ = 9). Thus, the polygon with an exterior angle of 40 degrees has 9 sides.
How many sides does a regular polygon have if each exterior angle is 36 degrees?
To find the number of sides in a regular polygon when each exterior angle is 36 degrees, you can use the formula: ( n = \frac{360}{\text{exterior angle}} ). In this case, ( n = \frac{360}{36} = 10 ). Therefore, the regular polygon has 10 sides, making it a decagon.
How do you find the exterior angle in a regular polygon with eight sides?
It is: 360/8 = 45 degrees
How do you find a exterior angle?
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
What is the formula to find the sides of a regular polygon?
360/exterior angle = number of sides of a regular polygon
Find the measure of an interior angle and an exterior angle of a regular polygon with 30 sides?
999999
How do you work out the amount sides a polygon has with only the exterior angle?
If it is a regular polygon then divide the exterior angle into 360 degrees to find the amount of sides it has because the exterior angles of any polygon add up to 360 degrees.
What regular polygon has an exterior angle of 40 degrees?
A regular polygon with an exterior angle of 40 degrees is a regular 9-gon, or nonagon. The formula for the exterior angle of a regular polygon is given by (360^\circ/n), where (n) is the number of sides. To find (n), you can set (360^\circ/n = 40^\circ), which leads to (n = 360^\circ / 40^\circ = 9). Thus, the polygon with an exterior angle of 40 degrees has 9 sides.
Find the measures of an interior angle and an exterior angle of a regular polygon with 9 sides?
Each interior angle: 140 degrees Each exterior angle: 40 degrees
Exterior angle of a heptagon?
51.428571° is the measure of an exterior angle of a heptagon. You can always find the measurements of a regular polygon by dividing 360 by the amount of sides.
The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
How many sides does a regular polygon have if each exterior angle is 36 degrees?
To find the number of sides in a regular polygon when each exterior angle is 36 degrees, you can use the formula: ( n = \frac{360}{\text{exterior angle}} ). In this case, ( n = \frac{360}{36} = 10 ). Therefore, the regular polygon has 10 sides, making it a decagon.
How do you find the exterior angle in a regular polygon with eight sides?
It is: 360/8 = 45 degrees
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
What is the formula to find the sum of the measures of the exterior angles one at each vertex of a polygon?
If it's a regular polygon: 360/number of sides = each exterior angle
