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What Is The Distance From The Point Of The Angle To Where The Circle Intersects It?

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What Is The Distance From The Point Of The Angle To Where The Circle Intersects It?

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There are at least a couple of ways to work this problem. 1. A line from the apex of the angle to the tangent point of the circle will be 0.1/Tan[45°/2] = .241 2. Call the center of the circle point D. Draw triangle ABC such that point A is the apex of your 45° angle, point B is the tangent point of the circle and the 45° angle point C is where the line through point B and point D intersects the 45° angle on the “other side” from point B. Distances AB and BC are equal, because they are legs of a 45° right triangle. Distance DC has measure 0.100√2, because it is the hypotenuse of another 45° right triangle whose legs are 0.100 in length. Distance BD is 0.100, because it is the radius of your circle, so distance BC is 0.100(1+√2) ≈ 0.241.

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