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E4004

E4004. Tangent and Chord Problem. Tangent & Chord Problem. The points T & A lie on a tangent of circular curve TBC. ABC is a straight line. Given the noted dimensions. 81°36’20”. A. T. 20.03221. Determine the radius of the curve passing through T, B and C. B. 151°25’43” 75.26498. C.

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E4004

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  1. E4004 Tangent and Chord Problem

  2. Tangent & Chord Problem The points T & A lie on a tangent of circular curve TBC ABC is a straight line Given the noted dimensions 81°36’20” A T 20.03221 Determine the radius of the curve passing through T, B and C B 151°25’43” 75.26498 C

  3. Tangent & Chord Problem Construct OT, OA, OB and OC Let X be the midpoint of BC and construct OX 81°36’20” A T 20.03221 B 151°25’43” 75.26498 X C O

  4. DAXO DCXO DATO From (ii) From (iii) 81°36’20” A T 20.03221 B 151°25’43” 75.26498 R X C O R

  5. DAXO DCXO DATO From (ii) From (iii) From (i)

  6. 81°36’20” A T 20.03221 B 151°25’43” 75.26498 R X C O R

  7. Close TAXOT TA 81°36’20” 43.69226 AX 151°25’43” 20.03221+(75.26498/2) XO 241°25’43” ( ) OT 351°36’20” ( ) = Radius 67.73889 77.49040 81°36’20” A 43.69226 T 20.03221 B 151°25’43” 75.26498 R X C O R

  8. CHECK OT = OB = OC = R Close OTABC OT 351°36’20” 77.49040 TA 81°36’20” 43.69226 AB 151°25’43” 20.03221 MBrg = Radius 32°22’27”.277.49043 BC 151°25’43” 75.26498 MBrg = Radius 81°36’20” A 43.69226 90°28’59”.1 T 20.03221 B 77.49052 151°25’43” 75.26498 R X 77.49040 C O R

  9. Tangent & Chord Problem A T B C

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