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.
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.
Any number greater than 2.
The circle has a smaller area than the 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.
For any number greater than or equal to 3, a suitable polygon can be found.
yes the radius of a regular polygon is always greater than the apothem
A convex polygon.
Any polygon with more than three sides may have an angle greater than 180 degrees.
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.
a concave polygon is that polygon whose at leat one of the angles is greater than 180 degree
A hexagon has 6 sides so it would be any other polygon greater than 6 sides
I'm some cases yes while in others no :)
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.
Any number greater than 2.
The circle has a smaller area than the 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.
A conclave polygon is an object with x corners where one or more corners has an angle greater than 180 degrees.