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A circle is centered at (−3, 2) and has a radius of 2. Which of the following is the equation for this circle?
A. (x + 3)2 + (y − 2)2 = 2
B. (x − 3)2 + (y + 2)2 = 4
C. (x + 3)2 + (y − 2)2 = 4
D. (x − 3)2 + (y + 2)2 = 2

Respuesta :

Answer:

  • C. (x + 3)² + (y - 2)² = 4

Step-by-step explanation:

Forming the equation of a circle

  • (x - h)² + (y - k)² = r²

Here :

  • h = x-coordinate of the center
  • k = y-coordinate of center
  • r = radius

Substituting the values

  • (x - (-3))² + (y - 2)² = (2)²
  • (x + 3)² + (y - 2)² = 4
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Answer:

C. (x+3)^2+ (y-2)^2=4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

Where (h, k) is the coordinates of the center, and r is the radius.

Our values here are (h, k ) = (- 3, 2 ) and r = 2

Substituting, (x - (- 3) )² + (y - 2)² = 2²

Finally, simplifiying, our answer is

(x + 3)² + (y - 2)² = 4

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