A metal plate has the form of a quarter circle with a radius of R = 106 cm. Two 3 cm holes are to be drilled in the plate r = 90 cm from the corner at 30∘\displaystyle {30}^{\circ} and 60∘\displaystyle {60}^{\circ} as shown above. To use a computer controlled milling machine you must know the Cartesian coordinates of the holes. Assuming the origin is at the corner what are the coordinates of the holes (x1, y1) and (x2, y2)? Round your answer to 3 decimal places

(x1, y1) = (   ,   )

(x2, y2) = (   ,   )

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