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What is the length of the diameter of a circle with the equation (x - 1)² + (y +

Practice Questions

Q1
What is the length of the diameter of a circle with the equation (x - 1)² + (y + 2)² = 16?
  1. 4
  2. 8
  3. 16
  4. 2

Questions & Step-by-Step Solutions

What is the length of the diameter of a circle with the equation (x - 1)² + (y + 2)² = 16?
  • Step 1: Identify the equation of the circle, which is (x - 1)² + (y + 2)² = 16.
  • Step 2: Recognize that the general form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
  • Step 3: From the equation, we see that r² = 16.
  • Step 4: To find the radius, take the square root of 16, which is √16 = 4.
  • Step 5: The diameter of a circle is twice the radius, so calculate the diameter as 2 * radius = 2 * 4 = 8.
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