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This might be a bit of a cheap answer, but:
Of all shapes, circles have the highest area/perimeter ratio; that is, they have a maximum area for a minimum perimeter.
1000 = circumference = 2 pi r
r = about 159.155 m
area = pi (r squared) = about 79577.538 sq. m
using pi = 3.14159
What else can I help you with?
A wire of length 3x is bent into the shape of a square Express the area A of the square as a function of x?
The square is formed from a wire the length of 3x, which forms a perimeter of the same length. Because each side of the square is one fourth of the total perimeter (1 out of 4 equal sides), each side is 3x/4. The square of one side of a square is equal to the area of that square, so the area is (3x/4)2 = (9/16)x2.The answer is then A = (9/16)x2.
If a farmer has 100 meters of fence what is the maximum area if he has a barn?
The maximum area is 625 m². The maximum area can be found using a system of equations with two unknowns. By expressing the Area equation with only a single variable, the area is maximized wherever the first derivative of the equation is equal to zero. We find that the area is maximized when the two opposite sides of the barn are set to 25 m. Therefore, every side mesures 25 m and the maximum area is 625 m².
What is the area of a spandrel?
The answer depends on the shape of the arch.
What is the formula used to calculate the area of an irregular shape?
There is no set formula.You have to "split" the irregular shape into regular shapes, use whatever dimensions you have and fit them into the formulas of the known shapes.Find the area of each split shape. Lastly, you add all the areas to give you the totl area of the irregular shape
Can anyone find a formula for the described function A rectangle has a perimeter of 20m Express the area of the rectangle as a function of the length of one of its sides?
Suppose the length and width of the rectangle are L and W metres respectively.Then the perimeter, P = 20 m implies that2(L + W ) = 20 => L + W = 10 or W = 10 - L.Then Area = L * W = L * (10 - L) sq metres.
What would the maximum area of the circumscribed rectangle?
The maximum area of a circumscribed rectangle depends on the shape of the figure it surrounds. For a given perimeter, the rectangle achieves maximum area when it is a square, as this configuration maximizes the product of its length and width. If the dimensions of the circumscribed shape are known, the area can be calculated accordingly, but generally, the principle remains that a square shape offers the largest area for a given perimeter.
What is a perimieter?
perimeter is when you have a shape and then you have your area and that is what is in the middle of the shape and perimeter is the edge of the shape.
Is perimeter and area the same?
No , perimeter is the measurement outside of the shape; the border. Area is the measurement of inside of the shape.
What is the shape for a figure to have a perimeter of 20 and an area of 18?
Perimeter and area are not sufficient to determine the shape of a figure.
What is area an perimeter?
Area is the amount of square units in a 2-D shape, and perimeter is the distance around a shape
If you remove a square from the area of a shape will its perimeter get smaller?
No, the area will get smaller, not the perimeter.
Is the perimeter of a polygon less than the area of the polygon?
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.
How are area and perimeter different from each other?
The perimeter is the outside of a shape and the area is the inside of it
Is the perimeter the inside of a shape or the outside?
Perimeter is the outside. The area is the inside of a shape.
Which shape has the shortest perimeter?
If you want to enclose a certain area, the shape that does it with the shortest perimeter is a circle.
How do you find the area when knowing the perimeter of a shape?
The perimeter has nothing to do with the area you have to times the width times height times length and that will give you the area of the shape
How many acres inside a perimeter 50 mile long?
The perimeter of a shape does not determine its area. The shape can be made thinner without changing its perimeter but reducing its area.
