Question

The radius of the circle whose equation is (x - 3)² + (y + 1)² = 16 is

Answer 1

The radius of the circle whose equation is (x - 3)² + (y + 1)² = 16 is:

4 units.

Explanation:

We know that the general equation of a circle with center at (h,k) and radius 'r' is represented by the equation:

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

Here we are given a equation as:

`(x-3)^2+(y+1)^2=16`

i.e. on comparing the given equation with the general equation we have

h=3 and k= -1

and
`r^2=16`

on taking square root we get:

`r=4`

Hence, the radius of the equation is:

4 units