MHB Solve a Circle - Jose Needs Help!

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Jose seeks assistance in solving problems related to circles, specifically in calculating the length of an arc and understanding inscribed angles. He expresses a need for guidance and resources to improve his knowledge on these topics. Participants recommend various online resources to help him become proficient in circle-related concepts. The discussion emphasizes the importance of understanding the fundamental properties of circles for solving related mathematical problems. Engaging with the provided resources is suggested as a way to enhance his expertise.
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Hi my name is Jose and I really need to know how to solve a circle as in finding the length of an arc, inscribed angle, and so on... can someone help me?
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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