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A circle in the xy-plane has the equation (x−0.8)2+(y−5.2)2=1.69(x-0.8)^2+(y-5.2)^2=1.69. How long is the radius of the circle?

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Full solution

Q. A circle in the xy-plane has the equation (x−0.8)2+(y−5.2)2=1.69(x-0.8)^2+(y-5.2)^2=1.69. How long is the radius of the circle?
  1. Circle Equation Standard Form: The equation of a circle in the standard form is (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. The given equation is already in this form, with h=0.8h = 0.8, k=5.2k = 5.2, and r2=1.69r^2 = 1.69.
  2. Find Radius: To find the radius rr, we need to take the square root of r2r^2. The square root of 1.691.69 is 1.31.3.\newlineCalculation: r=1.69=1.3r = \sqrt{1.69} = 1.3

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