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Find the center and radius of a circle in steps with answer being center being (8,0)(8, 0) and radius (23)(2 \sqrt{3}) the problem is (x8)2+y2=12(x-8)^2+y^2=12

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Q. Find the center and radius of a circle in steps with answer being center being (8,0)(8, 0) and radius (23)(2 \sqrt{3}) the problem is (x8)2+y2=12(x-8)^2+y^2=12
  1. Circle Equation Standard Form: The equation of a circle in standard form is (xh)2+(yk)2=r2(x-h)^2 + (y-k)^2 = r^2, where (h,k)(h,k) is the center and rr is the radius.
  2. Given Equation Comparison: Given equation: x-8)^2 + y^2 = 12\. Compare it with the standard form to find the center \$h,k.
  3. Center Calculation: The center is (h,k)=(8,0)(h,k) = (8,0) because h=8h=8 and k=0k=0.
  4. Radius Calculation: Now, find the radius by taking the square root of 1212, which is the value on the right side of the equation.
  5. Radius Calculation: Now, find the radius by taking the square root of 1212, which is the value on the right side of the equation.The radius rr is 12\sqrt{12}, which simplifies to 232\sqrt{3}.

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