0
Circle. Test it. If circumference (perimeter of a circle) is 4 units, diameter will be 4/pi. 4/pi divided by two would be 2/pi, its radius. Since A=pi times r (radius) squared, A is about equal to 1.27 units. Now test a square with the same perimeter. The perimeter equals the side length times the number of sides. So P=l times n. The perimeter is 4, so its 4= 1 times 4. The area, A= sides squared, would be one squared, which equals one. So the area of the circle with the same perimeter is 1.27, while the area of the square with the same perimeter is 1. So the circle with the same perimeter has the greater area.
Add your answer:
Earn +20 pts
Which shape has the greatest area?
No shape has the greatest area. You can make a circle the size of a fingernail, and a square the size of a house; you can make a trapezoid the size of a crumb, and a rectangle the size of a car. Since you can change the size of the shape, there is no true answer.
Which rectangle has the greatest area for a fixed perimeter?
The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape 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.
Which shape has the largest area per perimeter?
In other words ... least fence for greatest area ... First place . . . Circle Second place . . . Square
Does planets with the greatest mass have the greatest surface area?
No, the mass of a planet is not directly related to its surface area. Surface area is determined by the size and shape of the planet, not just its mass. For example, Earth has a smaller mass than Jupiter, but a larger surface area due to its size and composition.
What is the are of a shape when the perimeter is 42.5?
A perimeter is not enough to determine the area. It depends on the shape. The shape has the greatest area if it is a circle and then the area will be 143.73 square units (approx). If it a square, the area will be 112.890625 sq units. But the area can be reduced, without limit, by making the shape longer and thinner. For example, 20*1.25 rectangle: area = 25 sq units 21*0.25 rectangle: area = 5.25 sq units 21.2*0.05 rectangle: area = 1.06 sq units 21.24*0.001 rectangle: area = 0.2124 sq units etc
How do you find the area of a shape with a shape inside of it?
You would find the area of the inside and outside shape (pretending that the inside shape was not in the outside shape). then, you would take the area of the outside shape and subtract the area of the inside shape.
Is the word 'area of a shape' a noun?
In the phrase 'area of a shape', both area and shape are nouns. In your mind, add 'the', it helps to show that they are nouns: 'the area of the shape'.
What is area of a shape?
The Area Of A Shape Is Multiplying The width * The Length
Why does the greatest area equal the greatest perimeter?
Because area is a function of perimeter.
What does area of a shape mean?
The area of a shape is measured in square units
What shape has an area of 23mm?
No shape can have an area of 23 mm since that is a measure of length, not area.
