human
Number of rectangles in a circle of radius R | Function to return the total possible rectangles that can be cut from the circle.
Diameter = 2 * Radius.
Square of diameter which is the square of the maximum length diagonal.
generate all combinations of a and b in the range ( 1 , ( 2 * Radius - 1 ) ) ( Both inclusive ).
Calculate the Diagonal length of this rectangle.
If this rectangle 's Diagonal  Length is less than the  Diameter, it is a valid  rectangle, thus increment counter.
Radius of the circle"
How can the above be solved in Python?
assistant
#Here is code to number of rectangles in a circle of radius R and the other steps required.
 def countRectangles ( radius ) :
	rectangles = 0
	diameter = 2 * radius
	diameterSquare = diameter * diameter
	for a in range ( 1 , 2 * radius ) :
		for b in range ( 1 , 2 * radius ) :
			diagonalLengthSquare = ( a * a + b * b )
			if ( diagonalLengthSquare <= diameterSquare ) :
				rectangles += 1
	return rectangles
radius = 2
totalRectangles = countRectangles ( radius )
print ( totalRectangles , " rectangles ▁ can ▁ be " , " cut ▁ from ▁ a ▁ circle ▁ of ▁ Radius " , radius )