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A circle has a radius of square root of 45 units and is centered at (-2.4,-4.8). Write the equation of this circle.

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Final answer:

The equation of the circle is (x + 2.4)^2 + (y + 4.8)^2 = (√45)^2.

Step-by-step explanation:

To write the equation of a circle, we use the formula (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

In this case, the center of the circle is (-2.4, -4.8) and the radius is √45.

Using the formula, the equation of the circle is (x + 2.4)^2 + (y + 4.8)^2 = (√45)^2.

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