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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.


What can we conclude about the yellow triangle and green triangle?


Why can we conclude what we did in (1) above?


Given your responses for (1) and (2), what can we conclude about the values of the ratios and ? Why can we conclude this?


Does your response to (3) change if the measure of the purple angle changes? Why or why not? Explain.