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(x+55)2+(y−11.5)2=121(x+55)^2+(y-11.5)^2=121 what is the diameter

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Full solution

Q. (x+55)2+(y−11.5)2=121(x+55)^2+(y-11.5)^2=121 what is the diameter
  1. Identify Circle Equation Form: The given equation is in the form of a circle's equation (x−h)2+(y−k)2=r2(x-h)^2 + (y-k)^2 = r^2, where (h,k)(h,k) is the center of the circle and rr is the radius of the circle. To find the diameter, we need to find the radius first and then multiply it by 22.
  2. Find Radius: The radius rr is the square root of the number on the right side of the equation. In this case, the right side of the equation is 121121.
  3. Calculate Radius: Taking the square root of 121121 gives us the radius rr. The square root of 121121 is 1111.
  4. Determine Diameter: The diameter of a circle is twice the radius. Therefore, the diameter DD is 22 times 1111.
  5. Final Diameter Calculation: Multiplying 1111 by 22 gives us the diameter D=22D = 22.

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