# Consider the circle of radius 5 centered at (0,0), how do you find an equation of the line tangent to the circle at the point (3,4)?

##### 1 Answer

Apr 20, 2015

**Using calculus:**

the equation of the circle is

At the point

So

At

So the slope of the line is

**Without calculus:**

The tangent is perpendicular to the radius connecting

The slope of the radius is