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Q: What is smallest number of degrees needed to rotate a regular pentagon around its center onto itself?
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Is it possible to do a tessellation using only regular pentagon?

No. Each interior angle of a regular pentagon is 108 degrees. In order for tessellation to be possible, the sum of the angles meeting at a point must be 360 degrees. That is to ensure that all the space around that point is covered. But 108 is not a factor of 360 so it is not possible.


What is the degrees all around a pentagon?

360


What is the perimeter of a penatgon?

The perimeter of a pentagon is the sum of its sides. If it is a regular pentagon, just multiply the length of a side by 5.The perimeter of a pentagon is the sum of its sides. If it is a regular pentagon, just multiply the length of a side by 5.The perimeter of a pentagon is the sum of its sides. If it is a regular pentagon, just multiply the length of a side by 5.The perimeter of a pentagon is the sum of its sides. If it is a regular pentagon, just multiply the length of a side by 5.


A pentagon with one interior angle that measures 2100 is a?

An impossibility because the 5 interior angles of a pentagon add up to 540 degrees.


Why will only three of the regular polygons tessellate the plane?

The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. There is no 1 or 2 sided polygon. The interior angle of a regular pentagon is 108 degrees which does not divide 360 degrees. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.That leaves regular polygons with 3, 4 or 6 sides.

Related questions

What is the degrees all around a pentagon?

360


Is it possible to do a tessellation using only regular pentagon?

No. Each interior angle of a regular pentagon is 108 degrees. In order for tessellation to be possible, the sum of the angles meeting at a point must be 360 degrees. That is to ensure that all the space around that point is covered. But 108 is not a factor of 360 so it is not possible.


What is the perimeter of a penatgon?

The perimeter of a pentagon is the sum of its sides. If it is a regular pentagon, just multiply the length of a side by 5.The perimeter of a pentagon is the sum of its sides. If it is a regular pentagon, just multiply the length of a side by 5.The perimeter of a pentagon is the sum of its sides. If it is a regular pentagon, just multiply the length of a side by 5.The perimeter of a pentagon is the sum of its sides. If it is a regular pentagon, just multiply the length of a side by 5.


How many degrees will the skater turn if he skates once around regular octagon?

360 degrees


A pentagon with one interior angle that measures 2100 is a?

An impossibility because the 5 interior angles of a pentagon add up to 540 degrees.


Why will only three of the regular polygons tessellate the plane?

The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. There is no 1 or 2 sided polygon. The interior angle of a regular pentagon is 108 degrees which does not divide 360 degrees. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.That leaves regular polygons with 3, 4 or 6 sides.


How many degrees will the skater turn if he skates once around regular polygon?

He will have skated a full turn of 360 degrees


What is the smallest size available at Torrid stores?

For pants and bottoms, the smallest size is around 12. For tops, they say the size is 0 but it is about a 10-12 in regular measurements.


What is the sum of an interior angles of a polygon with six sides?

If you measure all the angles around the interior of any regular shape (i.e., not one that intersects itself), then you get back to the same place you started, meaning the TOTAL sum would be 360 degrees, whether it's a triangle, square, pentagon, rectangle, rhombus, or any other regular polygon.


How many degrees will the skater turn if he skates once around regular hexagon?

He will turn 720 degrees because the angle sum of a hexagon is 720 degrees


Why do regular hexagons of the same size tesselate?

Because their angles are factors of 360 degrees and angles around a point add up to 360 degrees


Which polygons cannot be used to form a regular tesselation?

Most regular polygons will not tessellate but if their interior angles is a factor of 360 degrees then they will tessellate or if their angles around a point add up to 360 degrees then they also will tessellate.