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Why is the area of a circle bigger than a square with the same perimeter?
Wiki User
∙ 9y ago
It is not.
If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.
Wiki User
∙ 9y ago
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Is the area of a circle called circumference?
No. The circumference of a circle is the length around the circle, much like the perimeter of a square.
What shape has the largest area per perimeter?
The circle. Next comes the square.
Same perimeter different area?
Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)
The larger the perimeter of a square the larger the area of that square?
The area of a square is a function of the perimeter of the square.
Find the area and perimeter of a given circle?
If 'R' is the radius of the circle, then-- area of the circle is [ pi R2]-- perimeter of the circle is [ 2 pi R ]
What has a bigger area a square or a circle with a 42 centimeter perimeter?
Beautiful problem !The circle has more area.If you have a circle and a square, with the circumference of the circle equal tothe perimeter of the square, then the area of the circle is always(4/pi) = 1.27324times as much as the area of the square.If you have some length of fence in your warehouse, the most land you canenclose with it is to set it up in a circle.
Which has greater area circle or square?
For a given perimeter, the circle has the largest area possible.
What is the ratio of the area of a circle to the area of a square?
Circle and square are two entirely different shapes. But the ratio of areas of square to circle if their perimeter is equal is pi/4.
Is the area of a circle called circumference?
No. The circumference of a circle is the length around the circle, much like the perimeter of a square.
Which quadrilateral will give you the greatest area for the least perimeter?
A square will. The only shape that can enclose more area with the same perimeter is a circle.
What shape has the largest area per perimeter?
The circle. Next comes the square.
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.
Is the area of a circle bigger than the area of a square?
It depends on the diameter of the circle and the width of the square, if they are the same then the answer is no. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.
Same perimeter different area?
Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)
There are three shapes circle rectangle and square which one has least perimeter?
For a given area a circle has least perimeter. eg Let area = 100 sq cms. For the square or rectangle the perimeter = 40 cms For the circle the radius is square root of 100/3.1416 = 5.64 and the circumference = 2 x radius x 3.1416 = 35.44 cms
How do you find the perimeter using area?
Depending on the figure given you can find the area from the perimeter For example- If you have a square with a perimeter of 24, you divide 24 by 4 because all the sides of a square are congruent. In turn you will 6 as each side of the square The formula for the area of a square is side2 so you get 62 which is 36. The area is 36
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.
