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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If the radius of the circle circumscribing a triangle is... tagged by: AAPL ##### This topic has 1 expert reply and 0 member replies ### Top Member ## If the radius of the circle circumscribing a triangle is... If the radius of a circle circumscribing a triangle is the same as one of the sides of an acute angled triangle, then what is the measure of the angle opposite the side? A. 30 B. 45 C. 60 D. 90 E. 15 The OA is A. I don't have clear this PS question, I appreciate if any expert explain it for me. Thank you so much. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello AAPL. Let's take a look at your question. The image represents the problem. All the red lines have the same length (equal to the radius). Then, the red triangle is equilateral. Therefore, its angles have the same measure 60Âº. Now, using the Central Angle Theorem, we can get that A=2*B, that is to say, $$60Âº=2\cdot B\ \Leftrightarrow\ \ B=30Âº.$$ This is why the correct answer is the option A=30. I hope this answer can help you. I'm available if you'd like a follow-up. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • FREE GMAT Exam Know how you'd score today for$0

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