Monthly Archives: November 2021

Circle Passing Through Two Square Corners

A circle passes through two adjacent vertices of a square and is tangent to the opposite side of the square. If the side length of the square is , what is the radius of the circle? Source: NCTM Mathematics Teacher, … Continue reading

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Lottery Prizes in Powers of 11

A lottery gives prizes that are powers of . Thus, the possible prizes are , and . No more than prizes of any particular amount will be given, but the total amount awarded will be exactly . How many prizes … Continue reading

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