# Using Polar coordinates, what is the area of region A?

##
F: #r# = 16 #cos(Theta)#

#r_f# = 8

G: #r# = 5

#r_g# = 5

F:

G:

##### 1 Answer

This is nearly 83.1 % of the area of the larger circle.

#### Explanation:

At the common points,

So, the shaded area

between the limits 5 and

and 0 and

(5/16)#

#= 167.05 areal units, nearly.