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Is the preimeter of a polygon greater than the area of the polygon?
Shuang8
Either of the two can have the larger magnitude although, since one is a length and the other an area, they cannot be compared directly. Moreover, it depends on the units used.
For example, a square measuring 3 cm by 3 cm has a perimeter of 12 cm and an area of 9 cm2. The perimeter has the larger magnitude.
But the same square can be said to have sides of 30 millimetres. This gives a perimeter of 120 mm and an area of 900 mm2. The area has the larger magnitude.
The same sort of result applies to other polygons.
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∙ 14y ago
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Which regular polygon has interior angles with measures greater than 130?
For the interior angle of a regular polygon to be greater than 130° then the exterior angle must be less than 50°. The exterior angles of a regular polygon total 360°. 360/50 = 7.2 ....this needs to be rounded up to the next whole number. Therefore a regular polygon with 8 or more sides has interior angles measuring 130° or greater.
How many lines in a regular polygon?
Any number greater than 2.
What is a true statement about a circle inscribed in a regular polygon?
The circle has a smaller area than the polygon.
What is a complex polygon?
A polygon can be convex, which means Convex Polygon: A polygon that has all interior angles less than 180° Concave Polygon A polygon that has one or more interior angles greater than 180° A Complex polygon is neither convex or concave. A star polygon is an example of a complex polygon. If you look in google images, there are tons of pics of them.
What is a polygon in a circle if each of its vertices lie on the circle?
For any number greater than or equal to 3, a suitable polygon can be found.
Is the radius of a regular polygon always greater than the apothem?
yes the radius of a regular polygon is always greater than the apothem
What is a polygon that has no interior angles greater than 180 degrees?
A convex polygon.
What type of polygon has at least one angle greater than 180ο?
Any polygon with more than three sides may have an angle greater than 180 degrees.
How is the formula of a polygon closely related to the formula of the area of a circle?
The area of a polygon is greater than the area of the largest circle that can be inscribed within the polygon and smaller that the area of the smallest circle in which the polygon can be enclosed. So the areas of two circles establish a lower and upper bound to the area of the polygon. In a similar fashion, the perimeter of the polygon are also bounded by the circumferences of the two circles. This also works in reverse. That is, the area of a circle lies between the area of an inscribed polygon and that of a polygon containing the circle. And, again, the same applies to the circumference/perimeter. In fact these bounds were used to calculate the value of pi.
What is a concave polygons?
a concave polygon is that polygon whose at leat one of the angles is greater than 180 degree
Which polygon has more sides than a hexegon?
A hexagon has 6 sides so it would be any other polygon greater than 6 sides
Is the sum of the lengths of the diagonals of a polygon greater than the perimeter of the polygon?
I'm some cases yes while in others no :)
Which regular polygon has interior angles with measures greater than 130?
For the interior angle of a regular polygon to be greater than 130° then the exterior angle must be less than 50°. The exterior angles of a regular polygon total 360°. 360/50 = 7.2 ....this needs to be rounded up to the next whole number. Therefore a regular polygon with 8 or more sides has interior angles measuring 130° or greater.
How many lines in a regular polygon?
Any number greater than 2.
What is a true statement about a circle inscribed in a regular polygon?
The circle has a smaller area than the polygon.
What is a complex polygon?
A polygon can be convex, which means Convex Polygon: A polygon that has all interior angles less than 180° Concave Polygon A polygon that has one or more interior angles greater than 180° A Complex polygon is neither convex or concave. A star polygon is an example of a complex polygon. If you look in google images, there are tons of pics of them.
What is conclave polygon?
A conclave polygon is an object with x corners where one or more corners has an angle greater than 180 degrees.
