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Is perimeter always greater than the area?
No the area is almost always greater.
When is area bigger than perimeter?
It depends on the shape. Different conditions will apply for a circle, a polygon with n sides.
What values of x is the area of the rectangle greater than the perimeter?
5x> 4
In general describe the rectangle that has the least area for a fixed perimeter?
For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.
What is the area of a regular decagon whose side is 1.2 and whose apothem is 1.85?
Area of a regular polygon equals to the one half of the product of its perimeter with the apothem. So we have: A = (1/2)(a)(P) Since our polygon has 10 sides each with length 1.2, the perimeter is 12 910 x 1.2). Substitute 12 for the perimeter, and 1.85 for the apothem in the area formula: A = (1/2)(a)(P) A = (1/2)(1.85)(12) A = 11.1 Thus, the area of the decagon is 11.1.
Does a polygone with the greater area always have a greater perimeter?
No, a polygon with a greater area does not always have a greater perimeter. For example, consider a very thin, elongated shape that has a large area but a relatively small perimeter compared to a more compact shape. The relationship between area and perimeter can vary significantly depending on the specific dimensions and configuration of the polygons involved.
Is perimeter always greater than the area?
No the area is almost always greater.
What is the difference between finding the perimeter of a polygon and finding the area of a polygon?
Finding the perimeter of a polygon is finding how far it is in total along all the edges of the polygon; whereas finding the area of a polygon is finding how much space the polygon covers. The perimeter of a polygon forms the boundary around the area of the polygon.
How do you know that area is this and perimeter is that?
You know because the area is the distance inside a polygon and a perimeter is the distance outside a polygon.
What measurement does a polygon have?
A polygon has lengths, angles, a perimeter and area.
What is the formula for finding the area of a regular polygon with perimeter P and apothegm length a?
Area of regular polygon: 0.5*apothem*perimeter
What is the perimeter of a polygon with the area of 7?
If you restrict yourself to integers, the perimeter of a four-sided polygon is 16.
How do you find the perimeter of a regular polygon with the apothem and area?
Perimeter = 2*Area/Apothem.
The what of a polygon is the distance around the polygon?
the perimeter. the space inside is the area
Is The area of a rectangle always greater than the perimeter?
To answer this simply try a few out for yourself. In a 2x1 cm rectangle, the area is 2 cm squared and the perimeter is 6 cm In a 12x10 rectangle, the area is 120 cm squared and the perimeter is 44 cm. In some cases, the perimeter is larger and in others it is smaller. To answer your question, no, the perimeter of a rectangle is NOT always greater than its area.
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.
Can a rectangle have a greater perimeter and also have a greater area?
Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.
