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Is the perimeter of a polygon less than the area of the polygon?
Shuang8
if your perimeter totals the same as 4 times pi then the maximum area that can be encompassed is equal to the perimeter. This is done by forming a circle.
if you change the shape of the circle then the area will become smaller than the perimeter(circumference)
if you make the circumference of the circle smaller then you will definitely decrease the area faster than you would the perimeter
if you make the perimeter bigger then you will definitely increase the area faster than you would the perimeter.
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∙ 12y ago
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Is the perimeter of the garden is 84 feet what is the area?
The perimeter doesn't tell the area. There are an infinite number ofpossibilities, and it can be any number less than 561.5 square feet.
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 :)
Four times the perimeter of the parking lot is 16 less than 2000m what is the perimeter of the lot?
If 4 x perimeter is less than 2000m, then (dividing ty 4) the perimeter is less than 2000/4 = 500m. No more detailed answer can be given without more information.
Is the area always larger than the perimeter?
No the area is not always larger than the perimeter. Ex. The area of a reectangle could be 4 feet. The width could be 4 while the length is 1. The perimeter total would be 10.
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.
What is the perimeter for a polygon that's area is 20sq. units?
Even if you knew how many sides the polygon has, you stillcould not calculate its perimeter with that much information.Examples:-- An equilateral triangle with area of 20 has perimeter of 20.3885 .-- A square with area of 20 has perimeter of 17.889(rounded).-- A rectangle with area of 20 can have any perimeter more than 17.889 .4 by 5 . . . . area = 20, perimeter = 182 by 10 . . . area = 20, perimeter = 241 by 20 . . . area = 20, perimeter = 42..etc.
How do you determine area if perimeter is given?
More information is required in order to answer this question. What is the shape for which the perimeter is given? If it anything other than a circle or regular polygon it is not possible to determine the area. For a circle or regular polygon, the answer will depend on the shape.
What is the longest side of a polygon if polygons perimeter is 150 cetimeter?
It must be less than half that length.
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.
When is area bigger than perimeter?
It depends on the shape. Different conditions will apply for a circle, a polygon with n sides.
What is the area if the perimeter is 36?
The perimeter doesn't tell you the area. There are an infinite number of differentareas that it could have.-- If it's a circle with a perimeter of 36, then the area is 103.1324. (rounded)-- If it's a square with a perimeter of 36, then the area is 81 .-- If it's a rectangle with a perimeter of 36, then the area can be any numberthat's more than zero and less than 81 .
What is the least possible perimeter with an area of 169 ft?
The shape which minimises the perimeter for a fixed area is a circle. A circle of radius 7.334 ft (approx) will have the required area and a perimeter (circumference) of just 46.084 ft. The quadrilateral with the smallest perimeter will be a square with sides of 13 feet: a perimeter of 4*13 = 52 feet. Any regular polygon with more than 4 sides will have a smaller perimeter, for the same area, than a square.
Is it possible for a shape to have the same area but different perimeter?
Answer: Yes. A polygon can have the same perimeter length but smaller area than another polygon. Answer: For congruent or similar shapes, no. For different shapes, yes. Consider, for example, a rectangle 3 x 1, and another rectangle 2 x 2. They have different areas, but the same perimeter.
Is the perimeter of the garden is 84 feet what is the area?
The perimeter doesn't tell the area. There are an infinite number ofpossibilities, and it can be any number less than 561.5 square feet.
Why is the perimiter of a polygon folded in half be more than perimeter of the whole polygon?
I have know idea that is why i am asking it so answer it
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 :)
What is the area if the perimeter is 3.5?
Any area you want less than or equal to 49/16π units2 ≈ 0.975 units2 (and greater than 0 units2).
