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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Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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