Points (8 ,5 ) and (3 ,4 ) are ( pi)/3 radians apart on a circle. What is the shortest arc length between the points?

1 Answer
Tony B
Feb 9, 2016

Let me give you a starting point:
Tony B

Explanation:

Distance between P_1" and "P_2 is

sqrt((8-5)^2+(5-4)^2)" "=" "sqrt(26)

Then use " "rsin(pi/6)" "=" "P_1P_3" "=" "sqrt(26)/2

So " "r = sqrt(26)/(2sin(pi/6))

From which you can derive the length of arc

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