# SOLUTION: A square is inscribed in a circle whose diameter is 10 cm. Find the length of the side of the square.

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 Geometry: Pythagorean theorem Solvers Lessons Answers archive Quiz In Depth

 Question 170537: A square is inscribed in a circle whose diameter is 10 cm. Find the length of the side of the square.Answer by Alan3354(34677)   (Show Source): You can put this solution on YOUR website!A square is inscribed in a circle whose diameter is 10 cm. Find the length of the side of the square. ------------------- The diagonal of the square is the diameter of the circle, = 10 cm. The diagonal makes a 45 deg angle with the side, so the side is 10*sin(45) = 5*sqrt(2) cm =~7.07 cm --------------- Using Pythagoras, the 2 sides are equal, so d^2 = a^2 + a^2 (diagonal d, sides a) 100 = 2a^2 a = sqrt(50) = 5*sqrt(2) same answer.