Singapore Math Olympiad 2012 Junior Question 6[br][br]Use the slider to change values of x and explore visually the solution of Q6

1. What happens when you change the value of x ? Does the small circle increase in size ? Does the square increase in size?[br] Can you write down the algebraic expression for the length of the side of the square?[br][br]2. What is the value of x when the square is as large as possible without extending out of the larger circle?[br] [br]3. What is the value of x when the smaller circles touch each other?[br][br]4. Can you write down the algebra equation to sum up the lengths and diameters of the circles for part 2 & 3 question above?