Quick Answer: What Are The Sides Of A Pentagon?

Are the sides of a pentagon equal?

All sides are the same length (congruent) and all interior angles are the same size (congruent).

To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)…

And there are five angles…

So, the measure of the interior angle of a regular pentagon is 108 degrees..

What is a 72 sided shape called?

pentagonA regular pentagon has: Interior Angles of 108° Exterior Angles of 72°

What’s a 13 sided shape called?

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

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.

How many sides does a regular polygon have if the measure of an exterior angle is 24?

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

What is the difference between a pentagon and a regular pentagon?

Pentagons can be regular or irregular and convex or concave. A regular pentagon is one with all equal sides and angles. Its interior angles are 108 degrees and its exterior angles are 72 degrees. An irregular pentagon is a shape that does not have equal sides and/or angles and therefore do not have specified angles.

What is a 100 sided shape called?

hectogonIn geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.

What is the side length of a pentagon?

918.9 ftside – 918.9 ft. diagonal – 1486.8 ft. perimeter – 4594 ft (0.87 mi)

Is any 5 sided shape a Pentagon?

In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon. … The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting.

What is the formula to find the sides of a polygon?

Finding the Number of Sides of a Polygon 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 10 sided shape called?

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

What do you call a 12 sided shape?

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

Can a Pentagon have four right angles?

A quadrilateral can have four right angles. Sum of Interior Angles = 540′. Four right angles would leave 180′, which is impossible. So a pentagon has a maximum of three right angles, as shown.

Does a Pentagon have parallel lines?

A regular pentagon has no parallel or perpendicular sides, but a non-regular pentagon might have parallel and perpendicular sides. It all depends on the polygon.

How do you find the sides of a pentagon?

Find the length of one side of the pentagon. Explanation: A regular pentagon must have five equivalent sides and five equivalent interior angles. Regular pentagons can be divided up into five equivalent interior triangles, where the base of the triangle is a side length and the height of the triangle is the apothem.

What are the sides of a polygon?

2D ShapesTriangle – 3 SidesSquare – 4 SidesPentagon – 5 SidesHexagon – 6 sidesHeptagon – 7 SidesOctagon – 8 SidesNonagon – 9 SidesDecagon – 10 SidesMore …

What’s a 6 sided shape called?

hexagonMore 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 regular polygon have if the measure of an exterior angle is 45 degree?

8As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .