Assignment:
A circle of radius 100is inscribed in a square. The inscribing process continues to infinity. What is the sum of the unshaded areas?
Radius of 1 = 100 - Radius of 2 = _________Radius of 3 = _______ Radius of 4 = ____________
Side of square 1 =________, Side of square 2 = __________, Side of square 3 = ___________Side of square 4 = ______________
Area of Circle 1 = ___________, Area of Circle 2 = _________, Area of Circle 3 = _____________Area of Circle 4 = _______________________
Area of Square 1 =_____________Area of Square 2 = ___________Area of Square 3=___________Area of Square 4 = _____________
Difference of 1st -_____________Difference of 2nd -________Difference of 3rd - ___________Difference of 4th - _______________
The next is same as above, but the circle with radius 100 is inscribed in an equilateral traiangle. The inscribing process continues until infinity. What is the sum of the unshaded area? All the above for this problem same as above.
Provide complete and step by step solution for the question and show calculations and use formulas.