Areas of regions Make a sketch of the region and its

Solution 21E

Step 1:

In this problem we need to find the area of the region inside the circle r = 8sin(

We know that  Area is ; A =

This means that the formula for Area is ;

A = dA =  ( ).

The given circle is ;  r = 8 sin θ.

For this problem (and in every possible case ) we try to exploit the symmetry of the figure . The entire Area is shown below , together with the Area between .

Graph of the region is shown below ;