Question

The equation of a circle is x^2 plus (y-10) ^2 equals 16 The radius of the circle is ___

The center of the circle is ___

Answer 1

The standard equation of a circle:

`(x-h)^2+(y-k)^2=r^2`

(h, k) - center

r - radius

We have:

`x^2+(y-10)^2=16\to(x-0)^2+(y-10)^2=4^2`

Answer:

The radius of the circle is 4.

The center of the circle is (0, 10)