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Answer:

C) x^2 + y^2 = 16

Step-by-step explanation:

Find the equation

since the radius is  4 this means that anywhere from the center of the circle to the edge of the circle is 4. hence :

place the horizontal line of the radius where y = 0 .

this means that if y = 0 , then x = 4

therefore :

x^2 + y^2

4^2 + 0^2

= 16

hence the answer is C ) x^2 + y^2 = 16

The circle below is centered at the origin and has a radius of 4. the equation would be C) x^2 + y^2 = 16

What is the equation of the circle with radius r units, centered at (x,y) ?

If a circle O has a radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,

then, its equation is given as:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

The circle below is centered at the origin and has a radius of 4.

Since the place the horizontal line of the radius where y = 0.

This means that if y = 0 , then x = 4

therefore :

[tex]x^2 + y^2\\4^2 + 0^2\\= 16[/tex]

Therefore, the answer is C ) x^2 + y^2 = 16

Learn more about the equation of a circle here:

https://brainly.com/question/10165274

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