360/exterior angle = number of sides of a regular polygon
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
The formula to find the measure of an interior angle in a regular polygon is [(n-2)(180)]/n In other words, you take the number of sides in a regular polygon, such as a rhombus, and subtract two. Then multiply that by 180. Lastly, divide by the number of sides.
To find the size of each interior angle of a regular polygon, you can use the formula ((n-2) \times 180° / n), where (n) is the number of sides. For a regular polygon with 36 sides, this calculation would be ((36-2) \times 180° / 36 = 34 \times 180° / 36 = 170°). Therefore, each interior angle of a regular 36-sided polygon is 170 degrees.
To find the number of sides ( n ) of a regular polygon with an interior angle of 172 degrees, we can use the formula for the interior angle of a regular polygon: [ \text{Interior Angle} = \frac{(n-2) \times 180}{n} ] Setting this equal to 172 degrees gives: [ \frac{(n-2) \times 180}{n} = 172 ] Solving for ( n ), we find ( n = 22 ). Therefore, a regular polygon with an interior angle of 172 degrees has 22 sides.
360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle
If the polygon is a regular polygon then all interior angels are equal to 180-(360/no of sides of the polygon)
the formula is (n-2)x180/n where n is the number of sides the polygon has
To find the number of sides of a regular polygon, you can use the formula: Number of sides = 360 degrees ÷ Measure of each interior angle. In this case, if one interior angle is 108 degrees, the regular polygon has 360 ÷ 108 = 3.33 sides. Since a polygon cannot have a fractional number of sides, we round down to the nearest whole number. Therefore, the regular polygon has 3 sides, which makes it an equilateral triangle.
The polygon is a Quadrilateral.
We have the interior angle 144∘ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.
It will have 10 equal sides
If it's a regular polygon: 360/number of sides = each exterior angle
40 sides
360/18 = 20 sides
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
The perimeter of a polygon is the sum of the length of each of its sides. If the polygon is a regular polygon the you can calculate the perimeter as [number of sides] *[the length of one side]
A polygon with each interior angle measuring 180 degrees is a regular octagon. In a regular octagon, all the sides are the same length and all the interior angles are the same. Therefore, since each interior angle is 180 degrees, the number of sides is 8. You can use the formula n - 2, where n is the number of sides, to find the number of sides for any regular polygon. In this case, n - 2 = 8 - 2 = 6. Since 6 is the number of sides, the polygon is an octagon.