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

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Answer 1 · 2016-02-09T16:15:57

Let me give you a starting point:
Tony B

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