Question

True or false18. In the circle: x^2+(y-2)^2=12, the radius is 12

Answer 1

The general equation of a circle is:

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

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

Comparing the given equation of a circle and the above general equation we get:

`r^2=12`

Then, the radius of this circle is:

`r=\sqrt[]{12}`

In conclusion, the sentence is false.