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Which of the following equations correctly represents a circle centered at the
origin with a radius of 5?
O A. (x-5)2 + (x - 5)2 = 5
O B. x2 + y2 = 5
O c. x2 + y2 = 25
O D. (X-5)2 + y2 = 25

Answer :

Answer: C is the answer

Step-by-step explanation:

The equation of a circle with a radius of 5 and centered at the origin is given by:

c. x² + y² = 25

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem:

  • The circle is centered at the origin, hence [tex](x_0, y_0) = (0,0)[/tex].
  • The radius is of r = 5.

Hence the equation is given by:

c. x² + y² = 25

More can be learned about the equation of a circle at https://brainly.com/question/24307696

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