# How do you write the definite integral to find the smaller area cut from the circle #x^2 + y^2 = 25# by the line x = 3?

##### 2 Answers

The definite integral is

#### Explanation:

There are always multiple ways to approach integration problems, but this is how I solved this one:

We know that the equation for our circle is:

This means that for any

If we imagine that a line drawn from the top of the circle to the bottom with constant

Since we are interested in the area between the line

As an alternative, in polar

#### Explanation:

you can do it in polar too

the circle in polar is r = 5 and using the simplest formulation of area

where the red bit is as shown shaded in red on the drawing