Does R Matter?

In the applet below, 2 concentric circles are shown. Both have center (0,0). Use this applet to answer the questions that follow.
1.
What can we conclude about the yellow triangle and green triangle?
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2.
Why can we conclude what we did in (1) above?
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3.
Given your responses for (1) and (2), what can we conclude about the values of the ratios and ? Why can we conclude this?
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4.
Does your response to (3) change if the measure of the purple angle changes? Why or why not? Explain.
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Information: Does R Matter?