Quick Answer: How Many Sides Does A Polygon Have With An Interior Angle Of 900?

What is the sum of the interior angles of a 22 Gon?

Find the sum of the interior angles of a 22-gon.

Since the polygon has 22 sides, we can substitute this number for n: (n 2)180˚= (22 2)180˚= 20180˚= 3600˚..

What polygon has a sum of 900 degrees?

heptagonSo, the sum of the interior angles of a heptagon is 900 degrees.

How many sides does a polygon have with an interior angle of 1440?

10 sidedThe sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180).

What is the interior angle of a 10 sided polygon?

A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .

What is the angle of a Heptagon?

5π/7 radiansA regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/7 radians (128​4⁄7 degrees). Its Schläfli symbol is {7}.

What is the name of a 5 sided shape?

pentagonMore than Four Sides A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…

How many sides does a polygon have with an interior angle?

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

How many sides does a polygon have with an interior angle of 5400?

32 sidesSum of the interior angles of a polygon = 5400 deg. n = 32. So the polygon has 32 sides.

How many sides does a polygon have with an interior angle of 135?

eight sidesAnswer. It is a octagon ( eight sides ). so, 1080/ 8 = 135° .

What is the formula for a regular polygon?

You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.

What is the sum of interior angles of a Nonagon?

1260°Nonagon/Sum of interior angles

How many sides does a polygon have with an interior angle of 1800?

twelve sidesExplanation: The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.

How many sides does a polygon have with an interior angle of 720?

**The students should see the pattern of numbers from the 1st column to the 4th column.Number of SidesName of PolygonSum of interior angles3Triangle180 degrees4Quadrilateral360 degrees5Pentagon540 degrees6Hexagon720 degrees6 more rows

What is the formula for interior angles?

You can use the same formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find out how many sides n a polygon has, if you know the value of S , the sum of interior angles.

What’s a nine sided shape?

enneagonIn geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.

What is the formula for one interior angle in a regular polygon?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

How many sides does a polygon have with an interior angle of 160?

18 sidesAnswer and Explanation: Hence, it has 18 sides.

How many interior angles does a Heptagon have?

7 900The General RuleShapeSidesSum of Interior AnglesHeptagon (or Septagon)7900°Octagon81080°Nonagon91260°……..6 more rows