# Visual Representation of 2012 SMO Junior Question 6

Singapore Math Olympiad 2012 Junior Question 6
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?
Can you write down the algebraic expression for the length of the side of the square?
2. What is the value of x when the square is as large as possible without extending out of the larger circle?
3. What is the value of x when the smaller circles touch each other?
4. Can you write down the algebra equation to sum up the lengths and diameters of the circles for part 2 & 3 question above?

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