# Points #(4 ,4 )# and #(7 ,3 )# are #(5 pi)/4 # radians apart on a circle. What is the shortest arc length between the points?

Evaluate the cosine function:

Simplify:

Multiply both sides by the conjugate:

Flip the equation and divide both sides by 6:

Use the square root operation on both sides:

We know that the arclength, S, is the radius multiplied by the radian measure of angle:

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