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find the equation of the circle with center at (3 -2) and radius of 3.

Sagot :

Space

Answer:

(x - 3)² + (y + 2)² = 9

General Formulas and Concepts:

Pre-Calculus

Equation of a Circle: (x - h)² + (y - k)² = r²

  • (h, k) is center
  • r is radius

Step-by-step explanation:

Step 1: Define

Center (3, -2)

  • h = 3
  • k = -2

Radius r = 3

Step 2: Write Equation

  1. Substitute [EC]:                    (x - 3)² + (y + 2)² = 3²
  2. Exponents:                           (x - 3)² + (y + 2)² = 9
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