Question

Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. x 2 + y 2 = 16

Answer 1

this is a circle with the centre at the origin and radius 4.

Answer 2

Equation is a Circle

Explanation:

`x^2+y^2=16`

16 is 4 times 4 = 4^2

The given equation can be written as

`(x-0)^2 + (y-0)^2 = 4^2`

The above equation is in the form of
`(x-h)^2 + (y-k)^2= r^2` that is the equation of a circle .

`x^2+y^2=16` is the equation of a circle with center(0,0) and radius = 4