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Identify the part of the circle given the equation. Answer in terms of pi. 9. (x+7)^(2)+(y+4)^(2)=16 Center : ( ◻ ◻ circumference : ◻

Identify the part of the circle given the equation. Answer in terms of pi.\newline99. (x+7)2+(y+4)2=16 (x+7)^{2}+(y+4)^{2}=16 \newlineCenter : ( □ \square \newline□ \square \newlinecircumference : □ \square

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Q. Identify the part of the circle given the equation. Answer in terms of pi.\newline99. (x+7)2+(y+4)2=16 (x+7)^{2}+(y+4)^{2}=16 \newlineCenter : ( □ \square \newline□ \square \newlinecircumference : □ \square
  1. Identify Center of Circle: Identify the center of the circle from the given equation.\newlineThe equation (x+7)2+(y+4)2=16(x+7)^2 + (y+4)^2 = 16 is in the standard form (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.\newlineHere, h=−7h = -7 and k=−4k = -4.\newlineCenter: (−7,−4)(-7, -4)
  2. Calculate Radius: Calculate the radius of the circle.\newlineThe radius rr is the square root of the number on the right side of the equation, which is 1616.\newlineRadius, r=16=4r = \sqrt{16} = 4.
  3. Calculate Circumference: Calculate the circumference of the circle using the radius.\newlineCircumference = 2πr=2π(4)=8π2\pi r = 2\pi(4) = 8\pi.

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