Is it possible to construct a square with the same area of a circle?

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.

Is the area of a circle the same as the area of a square?

=√π2. The area of a circle is the same as the area of a square.

Can a square have the same area as a rectangle?

A square and a rectangle have the same area.

Do square circles exist?

2. the geometry in which one is working. It is well known that, given any widely accepted definition of the two terms, a square circle cannot exist in Euclidean 2-space.

Can a square be equal to a circle?

The area of a square is the length of a side times itself. The area of a square with a side of eight is equal to eight squared or 64. Squaring the circle means finding a circle whose area is exactly equal to the area of a square using only a finite number of steps. Therefore, you cannot square a circle.

How do you convert a square and rectangle to the same area?

Call the long side of the rectangle a and the short side b. The sides of the square are s. For the areas of the rectangle and square to be the same then ab must equal s2. If you make a little right angled triangle as shown, the hypotenuse (the longest side) = (a+b)/2 and one of the short sides is (a-b)/2.

When drawing a square equal in area to a given triangle The first step is to?

Steps

1. The base BC=b of the given ΔABC is bisected.
2. Perpendicular h from A to BC is drawn.
3. line segment of length h is cut off from the extended part of BC.
4. Line segment of length b2+h is bisected and a semicircle is drawn taking b2+h as diameter.
5. Perpendicular CD on BC is drawn , which intersects semicircle at D .