What is the radius for the circle given by the equation x^2 + (y-3) ^2=21

Round your answer to the nearest thousanth.

4.583

Step-by-step explanation:

Equation of a circle is:

(x - h) ² + (y - k) ² = r²

where (h, k) is the center of the circle and r is the radius.

x² + (y - 3) ² = 21

The center of the circle is (0, 3), and the radius is √21, or approximately 4.583.

x² + (y - 3) ² = 21

We know the formula is (x - xo) ² + (y - yo) ² = r²

So, 21 is the radius²

21 = r²

r = √21

r = 4,58257

Rounding

r = 4,583