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Explore the mathematical challenge of finding the smallest circle that can enclose three touching coins in this 54-minute video lecture. Learn the step-by-step solution to this classic geometry problem as Oxford mathematician Dr. Tom Crawford demonstrates the mathematical reasoning and calculations involved. Discover how to approach problems involving circular geometry, tangent circles, and optimization through detailed explanations and visual demonstrations using interactive geometry software. Gain insights into the mathematical techniques used to solve enclosure problems and understand the geometric principles that govern the relationships between touching circles and their containing boundaries.