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If the coordinates of the center of a circle are (2, 3) and the radius is 4, wha

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Question: If the coordinates of the center of a circle are (2, 3) and the radius is 4, what is the equation of the circle?

Options:

  1. (x - 2)² + (y - 3)² = 16
  2. (x + 2)² + (y + 3)² = 16
  3. (x - 2)² + (y + 3)² = 16
  4. (x + 2)² + (y - 3)² = 16

Correct Answer: (x - 2)² + (y - 3)² = 16

Solution:

The standard 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.

If the coordinates of the center of a circle are (2, 3) and the radius is 4, wha

Practice Questions

Q1
If the coordinates of the center of a circle are (2, 3) and the radius is 4, what is the equation of the circle?
  1. (x - 2)² + (y - 3)² = 16
  2. (x + 2)² + (y + 3)² = 16
  3. (x - 2)² + (y + 3)² = 16
  4. (x + 2)² + (y - 3)² = 16

Questions & Step-by-Step Solutions

If the coordinates of the center of a circle are (2, 3) and the radius is 4, what is the equation of the circle?
  • Circle Equation – Understanding the standard form of a circle's equation, which is derived from its center coordinates and radius.
  • Coordinate Geometry – Applying knowledge of coordinates and geometric properties to derive equations.
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