Answer to Question #345350 in Analytic Geometry for Ntombikayise

Question

Determine the coordinate of the center and the length of the radius.

X²+(y-2)²=10

Answer 1

The general equation of a circle is (x – h)² + (y – k)² = r², where (h, k) represents the location of the circle's center, and r represents the length of its radius. 

In this case (x – 0)² + (y – 2)² = $(\sqrt{10})^2$

So the coordinate of the center is (0; 2) and the length of the radius is $\sqrt{10}$ .