# How do you determine circle, parabola, ellipse, or hyperbola from equation #x^2 + y^2 - 16x + 18y - 11 = 0#?

##### 1 Answer

Nov 30, 2015

#### Answer:

The equation is of a circle of radius

#### Explanation:

Step 1: Group

Step 2: Complete the square for both

Step 3: Compare to the standard forms of conic sections

Note that the above equation matches the formula for a circle with

Thus the equation is of a circle of radius