Question

Ion 1.2 Homework Find the center and radius of the cir x^(2)+(y+2)^(2)=2

Answer 1

center = (0, 2)

radius = √2

Explanation:

x² + (y + 2)² = 2

the general equation of the circle is,

(x - h)² + (y - k)² = r²

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

r is the radius of the circle

given equation of the circle is,

x² + (y + 2)² = r²

(x - 0)² + (y - 2)² = 2

thus the center of the circle is, (0, 2)

radius, r² = 2

r = √2