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题目来源：
OG详解-OG7 数学1 Q35
正确答案：A
题目详解
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Choice A is correct. For a circle in the xy-plane that has the equation (x-h)2 +(y-k)2 = r2, where h, k, and r are constants, (h, k) is the center of the circle and the positive value of r is the radius of the circle. In the given equation, h = 13 and r2 = 64. Taking the square root of each side of r2 = 64 yields r = ±8. Therefore, the center of the circle is at (13, k) and the radius is 8.
Choice B is incorrect. This gives the center and radius of a circle with equation (x-k)2 +(y-13)2 = 64, not (x-13)2 +(y-k)2 = 64. Choice C is incorrect. This gives the center and radius of a circle with equation (x-k)2 +(y-13)2 = 4,096, not (x-13)2 +(y-k)2 = 64. Choice D is incorrect. This gives the center and radius of a circle with equation (x-13)2 +(y-k)2 = 4,096, not (x-13)2 +(y-k)2 = 64.
Choice B is incorrect. This gives the center and radius of a circle with equation (x-k)2 +(y-13)2 = 64, not (x-13)2 +(y-k)2 = 64. Choice C is incorrect. This gives the center and radius of a circle with equation (x-k)2 +(y-13)2 = 4,096, not (x-13)2 +(y-k)2 = 64. Choice D is incorrect. This gives the center and radius of a circle with equation (x-13)2 +(y-k)2 = 4,096, not (x-13)2 +(y-k)2 = 64.
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