Points (3,2) and (7,4) are π3 radians apart on a circle. What is the shortest arc length between the points?

1 Answer
Mar 5, 2016

4.68 unit

Explanation:

Since the arc whose end points are (3,2) and (7,4) ,subtends angleπ3 at the centre,the length of line joining these two points will be equal to its radius.
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Hence length of radius r= (73)2+(42)2=20=25

nowSr=θ=π3,where s= arc length and r= radius,θ=angle subtended be arc at the centre.
S=π3r=3.14325=4.68unit