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In the standard (x,y) coordinate plane, a circle with its center at (8,5) and a radius of 9 coordinate units has which of the following equations?




(x−8)2+(y−5)2=81

(x−8)2+(y−5)2=9

(x+8)2+(y+5)2=81

(x+8)2+(y+5)2=9

(x+5)2+(y+8)2=81


Sagot :

Answer:

[tex](x-8)^2+(y-5)^2=81[/tex]

Step-by-step explanation:

equation of a circle: [tex](x-a)^2+(y-b)^2=r^2[/tex]

where [tex](a, b)[/tex] is the center and [tex]r[/tex] is the radius

Given:

  • center = (8, 5)
  • radius = 9

[tex]\implies (x-8)^2+(y-5)^2=9^2[/tex]

[tex]\implies (x-8)^2+(y-5)^2=81[/tex]