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Two circles centered at the origin are graphed on the coordinate plane. The smaller circle has a radius of 2 units and the larger circle has a radius of 8 units.

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The equations that describe the given circles are:

x^2 + y^2 = 4

x^2 + y^2 = 64

How to get the equations for the circles?

For a circle of radius R, centered at the point (a, b), the equation is:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have two circles, both centered on (0, 0), but one has a radius of 2 units and the other a radius of 8 units, then we have two equations:

x^2 + y^2 = 2^2 = 4

x^2 + y^2 = 8^2 = 64

These are the two equations that describe the given circles.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

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