半径 x^2+y^2-6x+8y=144

解答

半径

x^{2} + y^{2} - 6 x + 8 y = 144

r = 13

求解步骤

x^{2} + y^{2} - 6 x + 8 y = 144

将

x^{2} + y^{2} - 6 x + 8 y = 144

改写为圆标准方程

(x - 3)^{2} + (y - (- 4))^{2} = 1 3^{2}

因此圆的性质是:

(a, b) = (3, - 4), r = 13

半径是:

r = 13

r a d i u s x^{2} - 10 x + y^{2} + 6 y - 1 = 0

r a d i u s 5 x^{2} + 5 y^{2} - 36 x + 98 y - 1 = 0

r a d i u s x^{2} + y^{2} + 14 x - 16 y + 64 = 0

r a d i u s 9 x^{2} + 9 y^{2} + 18 x - 18 y + 14 = 0

r a d i u s - 20 - x^{2} = - 16 x - 20 y + y^{2}