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What is the measure of an interior angle in a regular polygon with 9 sides?

What is the measure of an interior angle in a regular polygon with 9 sides?

140 °
So the interior angle of a 9 -sided polygon is 140 ° .

What is a regular polygon with 9 sides?

In geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon.

What is the measure of one interior angle of a regular polygon?

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

What is the measure of 1 interior angle?

What is the measure, in degrees, of one interior angle of a regular pentagon? where is equal to the number of sides of the regular polygon. The measure of one interior angle of a regular pentagon is 108 degrees.

What is the interior angle of a polygon with 7 sides?

128.571°
Heptagon

Regular heptagon
Symmetry group Dihedral (D7), order 2×7
Internal angle (degrees) ≈128.571°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

How do you find the area of a polygon with 9 sides?

The only equation is the general equation for any regular polygon as given in Part 1 above. How do I find the area of a nonagon with a side of four inches? To get the area, multiply the perimeter of the nonagon by the apothem and then divide by 2. You get the perimeter by multiplying 4 by 9, getting 36.

What do u call a 9 sided shape?

List of n-gons by Greek numerical prefixes

Sides Names
7 heptagon septagon
8 octagon
9 enneagon nonagon
10 decagon

What is the interior angle of a 16 sided polygon?

157.5°
In mathematics, a hexadecagon is a sixteen-sided polygon….Hexadecagon.

Regular hexadecagon
Coxeter diagram
Symmetry group Dihedral (D16), order 2×16
Internal angle (degrees) 157.5°
Dual polygon Self

What is the interior degree measure of angle A $?

To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above)… And there are six angles… So, the measure of the interior angle of a regular hexagon is 120 degrees.

What is the interior angle of a 8 sided polygon?

1080°
The sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .

What is the measure of an interior angle of a regular polygon?

What is the measure of an interior angle of a regular polygon with 20 sides? The sum of the interior angles in a regular polygon with n sides is found through the formula To find just one angle, divide 3240˚ by 20 since all 20 angles are congruent.

How to determine the number of sides of a regular polygon?

The interior angle of a polygon is the angle between two sides of the polygon. For a regular polygon, the interior angles are congruent (equal). The sum of the interior angles of a regular polygon is given by the formula: 180 (n – 2) degrees, where n is the number of sides of the polygon.

How is the interior angle of a hexagon measured?

Subtract 607 from each side. Hence, the measure of sixth interior angle of the hexagon is 113°. The measure of each interior angle of a regular polygon is 140 °. How many sides does the polygon have ?

How to calculate the interior angles of a pentagon?

For a regular pentagon, each angle will be equal to: 540°/5 = 108° 108°+108°+108°+108°+108° = 540° Sum of Interior angles of a Polygon = (Number of triangles formed in the polygon) x 180°