Question

Choose the correct conic section to fit the equation.

Answer 1

Answer:

Circle

Step-by-step explanation:

The given equation is $x^2+y^2=16$

We know the standard equation of a circle is given by

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

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

We can rewrite the given equation in this form

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

Hence, the center of the circle is (0,0) and radius is 4.

Thus, the given equation represents a circle.