Respuesta :
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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