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360/exterior angle = number of sides of a regular polygon

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14y ago

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How do you find out if the polygon of a circle is regular or not?

I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.


How do you calculate interior angles?

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.


What is the size of each interior angle of a regular polygon with 36 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.


What are the number of sides of a regular polygon with interior angle 172 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.


What is the formula to find the interior angle for a regular polygon?

360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle

Related Questions

What is the formula to find the interior angles of a polygon?

If the polygon is a regular polygon then all interior angels are equal to 180-(360/no of sides of the polygon)


Describe how you can find the measure of each interior angle of regular polygon?

the formula is (n-2)x180/n where n is the number of sides the polygon has


If the measure of one interior angle of a regular polygon is 108 how many sides does the regular polygon have?

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.


If the midpoint of successive sides of a regular polygon are joined a smaller regular polygon is formed Find a polygon of such number of sides so that the area is half that of the larger?

The polygon is a Quadrilateral.


How many sides does a regular polygon have if each angle measures 144 degrees?

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.


The measure of each interior angle of a regular polygon is 144 degrees Find the number of sides of the regular polygon?

It will have 10 equal 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


If the measure of each interior angle of a regular polygon is 171 find the number of sides in the polygon?

40 sides


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 find out if the polygon of a circle is regular or not?

I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.


How do you find the permeter of a polygon?

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]


Find the number of sides of a polygon if each interior angle is 180?

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.