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What is the equation of a circle with center at (1, 1) and radius 2?

Practice Questions

Q1
What is the equation of a circle with center at (1, 1) and radius 2?
  1. (x - 1)² + (y - 1)² = 4
  2. (x + 1)² + (y + 1)² = 4
  3. (x - 1)² + (y - 1)² = 2
  4. (x - 1)² + (y - 1)² = 8

Questions & Step-by-Step Solutions

What is the equation of a circle with center at (1, 1) and radius 2?
  • Step 1: Identify the center of the circle. The center is given as (1, 1). This means h = 1 and k = 1.
  • Step 2: Identify the radius of the circle. The radius is given as 2, so r = 2.
  • Step 3: Write down the general equation of a circle, which is (x - h)² + (y - k)² = r².
  • Step 4: Substitute the values of h, k, and r into the equation. This gives us (x - 1)² + (y - 1)² = 2².
  • Step 5: Calculate 2², which is 4. So the equation becomes (x - 1)² + (y - 1)² = 4.
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