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Take ( x, y ) to be the point on the unit circle with the property that the arc from (1 , 0) to (

Take (x, y) to be the point on the unit circle with the property that the arc from

(1, 0) to (x, y) is four sevenths the unit circle. Determine the fraction of the unit circle that is given by

the following arcs:

(a) from (x, y) to (1, 0);

(b) from (0, 1) to (x, y);

(c) from (x, y) to (1, 0).

(d) from (y, x) to (1, 0);

(e) from (0, 1) to (y, x);

(f) from (y, x) to (1, 0).

(g) from (x, y) to (1, 0);

(h) from (0, 1) to (x, y);

(i) from (y, x) to (1, 0)

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