Write the standard equation of the circle with the given center is (0,0) and radius is 2.5

x² + y² = 6.25

Step-by-step explanation:

The standard equation of a circle is (x - h) ² + (y - k) ² = r² where the center is (h, k) and r is the radius.

From your given information that the center is (0, 0) then both h and k are 0. Then r is 2.5, so

(x - 0) ² + (y - 0) ² = (2.5) ²

x² + y² = (2.5) ²

x² + y² = 6.25