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MathNet 2006 — Part 04 Question 96

Math Olympiad Vault · MathNet 2006 — Part 04

Question 96

Both tangents from the point $A$ outside the circle are drawn on the circle with diameter $10~\mathrm{cm}$. The point $A$ is $1{,}3~\mathrm{dm}$ away from the center of the circle. Calculate the distance between the points of contact of the tangents to the circle and express it in centimeters. Round the result to one decimal place.