Quick Answer: What Is The Sum Of A 10 Sided Shape?

What is the sum of a 9 sided shape?

The General RuleShapeSidesSum of Interior AnglesOctagon81080°Nonagon91260°……..Any Polygonn(n−2) × 180°6 more rows.

What is the sum of interior angles in a 10 sided polygon?

So, the sum of the interior angles of a decagon is 1440 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1440 degrees (from above)… And there are ten angles…

What is a 10 sided figure called?

decagonIn geometry, a decagon is a ten-sided polygon or 10-gon.

How do you find the area of a 10 sided shape?

Plug the apothem and the perimeter into the formula. If you’re using the formula area = 1/2 x perimeter x apothem, then you can plug in 120 for the perimeter and 10√3 for the apothem. Here is what it will look like: area = 1/2 x 120 x 10√3. area = 60 x 10√3.

What is the interior angle sum of a 9 sided polygon?

Excellent! So the interior angle of a 9 -sided polygon is 140 ° . We can see that x and one interior angle lie on the same side of a straight line, so their sum must be 180 ° . So x = 180 ° − 140 ° , or x = 40 ° .

How do you find area?

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

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 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 is a 5 sided shape called?

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…

What is the formula for Apothem?

We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.

What is a 33 sided shape called?

tritriacontagonWhat is the name of a polygon with…?#Name of the Polygon + Geometric Drawing33 sidestritriacontagon34 sidestetratriacontagon35 sidespentatriacontagon36 sideshexatriacontagon53 more rows

What is a 9 sided shape called?

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.

How many degrees is a hexagon?

720°Hexagon/Sum of interior angles

What’s a 13 sided shape called?

tridecagonIn geometry, a tridecagon or triskaidecagon or 13-gon is a thirteen-sided polygon.

What is a 27 sided shape called?

heptaSystematic polygon namesOnesTwenties5penta-256hexa-267hepta-278octa-286 more rows

What’s a 20 sided shape called?

icosagonIn geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

What is the sum of interior angles of a hexagon?

720°Hexagon/Sum of interior angles

What is 12 sided shape called?

dodecagonIn geometry, a dodecagon or 12-gon is any twelve-sided polygon.