∵圆心为C(3,派/6),半径为3的圆的直角坐标方程是(x-3)²+(y-π/6)²=3²∴x²+y²-6x-πy/3+π²/36=0.(1)∵令x=rcosθ,y=rsinθ代入(1)得r²-6rcosθ-πrsinθ/3+π²/36=0∴圆心...