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What is the radius of a circle with the equation (x - 4)² + (y + 2)² = 36?

Practice Questions

Q1
What is the radius of a circle with the equation (x - 4)² + (y + 2)² = 36?
  1. 6
  2. 4
  3. 8
  4. 5

Questions & Step-by-Step Solutions

What is the radius of a circle with the equation (x - 4)² + (y + 2)² = 36?
  • Step 1: Identify the equation of the circle, which is (x - 4)² + (y + 2)² = 36.
  • Step 2: Recognize that the standard form of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
  • Step 3: In the given equation, the right side is 36, which represents r².
  • Step 4: To find the radius (r), take the square root of r². So, r = √36.
  • Step 5: Calculate √36, which equals 6.
  • Step 6: Therefore, the radius of the circle is 6.
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