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What is the equation of a circle with center at (0, 0) and radius 4?

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Question: What is the equation of a circle with center at (0, 0) and radius 4?

Options:

  1. x² + y² = 16
  2. x² + y² = 8
  3. x² + y² = 4
  4. x² + y² = 20

Correct Answer: x² + y² = 16

Solution:

The equation of a circle is (x - h)² + (y - k)² = r². Here, h = 0, k = 0, r = 4, so x² + y² = 4² = 16.

What is the equation of a circle with center at (0, 0) and radius 4?

Practice Questions

Q1
What is the equation of a circle with center at (0, 0) and radius 4?
  1. x² + y² = 16
  2. x² + y² = 8
  3. x² + y² = 4
  4. x² + y² = 20

Questions & Step-by-Step Solutions

What is the equation of a circle with center at (0, 0) and radius 4?
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