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A circle is centered at (4, −7) and has a radius of 5. Which of the following is the equation of this circle?

Group of answer choices

(x + 4)2 + (x − 7)2 = 5

(x + 4)2 + (x − 7)2 = 25

(x − 4)2 + (x + 7)2 = 5

(x − 4)2 + (x + 7)2 = 25

Respuesta :

Answer:

3rd equation is correct as the eqn of circle is (x-h)2+(y-k)2=a2 when h,k is 4,-7 and a is 5

loneguy

Answer:

[tex](x-4)^2 +(y+7)^2 = 25[/tex]

Step-by-step explanation:

[tex]\text{Given that,}\\\\\text{Center of the circle,}~ (h,k) = (4,-7)~ \text{and radius,}~ r = 5\\\\\text{Equation of circle,}\\\\~~~~~~~(x-h)^2 + (y -k)^2 = r^2\\\\\implies (x-4)^2 +(y+7)^2 = 5^2\\\\\implies (x-4)^2 +(y+7)^2 = 25[/tex]

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