SOLUTION: if an arc with length of 12 phi is 3/4 the circumference of a circle. what is the shortest distance between the end points of the arc?

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Question 353183: if an arc with length of 12 phi is 3/4 the circumference of a circle. what is the shortest distance between the end points of the arc?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

The circumference of a circle is,



If we looked at the circle on a coordinate system, the one endpoint would be at (,) and the other would be at (,), where is the radius of the circle.
The shortest distance between two points in Euclidean geometry is a straight line.
The two points and the origin also desribe an isoceles right triangle with equals length sides of .
You can use the Pythaogorean theorem to find the hypotenuse.







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