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3.5(x+2.2)^(2)+3.5(y-11.1)^(2)-21=0 The given equation represents a circle in the xy-plane. What is the radius of the circle to the nearest hundredth? ◻

3.5(x+2.2)2+3.5(y−11.1)2−21=0 3.5(x+2.2)^{2}+3.5(y-11.1)^{2}-21=0 \newlineThe given equation represents a circle in the xy x y -plane. What is the radius of the circle to the nearest hundredth?\newline□ \square

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Q. 3.5(x+2.2)2+3.5(y−11.1)2−21=0 3.5(x+2.2)^{2}+3.5(y-11.1)^{2}-21=0 \newlineThe given equation represents a circle in the xy x y -plane. What is the radius of the circle to the nearest hundredth?\newline□ \square
  1. Addition to standard form: Now, we add 66 to both sides to get the standard form of the circle equation.\newline(x+2.2)2+(y−11.1)2=6(x+2.2)^{2}+(y-11.1)^{2}=6.
  2. Standard form explanation: The standard form of a circle's equation is (x−h)2+(y−k)2=r2(x-h)^{2}+(y-k)^{2}=r^{2}, where (h,k)(h,k) is the center and rr is the radius.\newlineComparing, we see that r2=6r^{2}=6.
  3. Finding radius: To find the radius rr, we take the square root of both sides.r=6.r = \sqrt{6}.
  4. Calculating radius: Now, we calculate the square root of 66 to get the radius to the nearest hundredth.\newliner≈2.45r \approx 2.45.

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