Assignment:
An equilateral triangle is inscribed in a circle of radius 100. The area of the circle which lies outside of the triangle is shaded. The process continues to infinity.
What is the radius for the second area/ third area/ fourth area?
Side of first area/ side of second area/ side of third area/ side of fourth area?
Area of first area is ________, area of second area is _________, area of third area is ______________, area of fourth area is __________
Each new area is ___________of the prevous area. What is the sum of all of the shaded areas?
Provide complete and step by step solution for the question and show calculations and use formulas.