Final answer:
The standard form of the equation of a circle with center (0,0) and radius 5 is x^2 + y^2 = 25.
Step-by-step explanation:
The standard form of the equation of a circle with center (0,0) and radius 5 is:
x2 + y2 = 25
In this form, the equation represents all the points (x, y) that are 5 units away from the origin (0,0), which is the center of the circle. The equation can also be written as:
r2 = x2 + y2
where r is the radius of the circle. In this case, r = 5.