What is the ratio of area of large square to the area of smaller square in the following image?

Diagonal of smaller square is equal to length of larger square So by solving We get ratio is 2:1

Two parabolas with vertical axes of symmetry share each other's vertex, and are contained between horizontal lines that go through their vertices.

What is the ratio of blue area (intersection) to the grey area in the image?

What is the area of the large, black square in the following image?

Each side of a square is divided into three equal parts by two points on it, which are connected as shown in the diagram below (that is not drawn to scale). If the smaller, red square has an area of 800, what is the area of the large square?

A square is inscribed in a circle and a circle is inscribed in that square. What will be the ratio of the area of the bigger circle to that of the smaller circle?

What is the area of the blue region in the following image?