Use Leonardo\'s table of chords to solve the following: Suppose a given chord in

Question

Use Leonardo's table of chords to solve the following: Suppose a given chord in a circle of diameter 10 is 8 rods, 3 feet, 16 2/7 unciae. Find the length of the arc cut off by the chord.

35 31 0 369631 4 3993 34 40 02 351 4191 354 42 90362 43 89 36 44 88 372 10122 12 120 13119 14 118 124 4G8638 1715 15 117 16116 144 153 49 83 3911 508395 5181 4022 528040 379400 172 18114 172 0413 21 11i 1318 557 24108 25 107 5042 60 7243 6174 24 2 27 105 25 28 0425 5 636941 5 G4 68 41 5 65 675 66 66420 273 217 32100 285

Explanation / Answer

Arc length =rx, where x is angle in radians.60=12x,x=5 A radius will bisect the chord at 90 degrees angle and also bisect the angle at the centre,so sin(x/2)=1/2chord/radius,12sin 2.5=1/2chord,chord=24sin(2.5)=14.36

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