Question

A circle is drawn on a coordinate plane with the center point at (0,3)
(
0
,
3
)
and a radius of 3. Derive the equation of the circle from the given information. Fill in the missing information in the following equation.(2 points)
( x−
𝑥
−
) 2+
2
+
( y−
𝑦
−
) 2=
2
=

Answer 1

Standard form: (x − h)^2 + (y − k)^2 = r^2.

With center (0,3) and radius 3:
(x − 0)^2 + (y − 3)^2 = 3^2

So the equation is:
x^2 + (y − 3)^2 = 9.