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Write the standard form of the equation of the circle with the given characteristics.
Center: (0, 0); Radius: 2

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WindyAutumnal

Circle Equations

Write the standard form of the equation of the circle with the given characteristics.

Center: (0, 0); Radius: 2

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

  • (h, k) is the center; and
  • r is the radius

Substitute the values of the center and radius to the standard form.

Given:

(0, 0) - center

2 - radius

  • (x - h)² + (y - k)² = 2²
  • (x - 0)² + (y - 0)² = 4
  • x² + y² = 4

Answer:

  • The equation of the circle is x² + y² = 4.

Wxndy~~

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