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Afraid of math covering your face
The side length of a square is equal to the radius of a circle.

You first calculate the area of the square and the area of the circle, then multiply the area of the circle by a quarter, and then subtract a quarter from the area of the square to get the area through which his house passes.

Then the area of the shadow semicircle is equal to the intersection just obtained, and the area of the intersection is obtained. The intersection area obtained by subtracting the area of the last semicircle is the area of the shaded part.

Mathematical geometry

In classical geometry, the radius of a circle or circle is any line segment from its center to its periphery, and in more modern usage, it is also the length of any one of them. The name comes from the Latin radius, which means ray, and it is also the spoke of a chariot.

The complex number of radius can be radius (Latin complex number) or the conventional English complex number radius. The typical abbreviation and mathematical variable name of radius is called R, and by extension, the diameter d is defined as twice the radius: d=2r.