# How do you find the equation of the normal to the circle #x^2 + y^2 = 40# at the point (6,2)?

##### 1 Answer

Jun 6, 2016

#### Answer:

#### Explanation:

Note that by circle properties, since the *tangent* is perpendicular to the *radius* of the circle at the point *normal*, which is perpendicular to the tangent, must be parallel to the radius.

Thus, all we need is the gradient of the normal in order to find its equation, since we are given a fixed point

Gradient

Equation of normal is