Can a square and circle have the same area?

That no matter what construction you do with a straight edge and compass, no matter how complicated it is, you will never be able to square the circle. You will never be able to find a square with the same area as the circle.

Do a circle and a square with the same perimeter have the same area?

Perimeter of a square is given by 4a and the perimeter of a circle is given by 2πr. Now place the value of equation (i) in the formula of area of a Circle. Now, comparing the equations (iii) and (iv) we find that 1.27a2>a2. Therefore, the area of a Circle is greater than the area of a square.

Is the area of a circle bigger than the area of a square?

Since 1/(4π) > (1/16), the circle has more area than the square.

Can a circle and rectangle have the same area?

A circle has the same area with a rectangle.

Does a square equal a circle?

Shapes are not defined by the sum of their interior angles. To be snarky: you look at a square, and look at a circle, and clearly see that those are different things. Mathematicaly: squares are polygons, and circles are not polygons; therefore a circle is not a square.

Can shapes have the same perimeter but different area?

In this lesson you will learn that rectangles can have the same perimeter but different area by building rectangles and organizing information in a chart.

Can two figures have the same perimeter but different areas?

Recognize that shapes with the same areas can have different perimeters and vice versa. It is not always the case that shapes with the same area have the same perimeter. Likewise, it is not always true that shapes with the same perimeter have equal area.

How the area of circle is similar to the area of rectangle?

The area of that figure is, again, twice the area of the circle. — and the figure itself will be indistinguishable from a rectangle whose base is 2πr and whose side is r. Since the area of that rectangle is twice the area of the circle, then the area of the circle is half the base times the height.

Is area of circle greater than the area of rectangle?

The circle will always have larger area than the rectangle.