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5 The equation of a circle is shown. x^(2)+y^(2)-10 x+8y+16=0 What is the radius of the circle? radius :

55 The equation of a circle is shown.\newlinex2+y2−10x+8y+16=0 x^{2}+y^{2}-10 x+8 y+16=0 \newlineWhat is the radius of the circle?\newlineradius :

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Q. 55 The equation of a circle is shown.\newlinex2+y2−10x+8y+16=0 x^{2}+y^{2}-10 x+8 y+16=0 \newlineWhat is the radius of the circle?\newlineradius :
  1. Complete the square: Complete the square for the xx-terms.x2−10xx^2 - 10x can be written as (x−5)2−25(x - 5)^2 - 25.
  2. Combine xx-terms: Complete the square for the yy-terms.y2+8yy^2 + 8y can be written as (y+4)2−16(y + 4)^2 - 16.
  3. Combine y-terms: Rewrite the equation with completed squares and combine constants.\newline(x - \(5)^22 - 2525 + (y + 44)^22 - 1616 + 1616 = 00\.
  4. Combine constants: Simplify the equation by combining constants. \newline(x−5)2+(y+4)2−25=0(x - 5)^2 + (y + 4)^2 - 25 = 0.

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