find the area of the region shared by the curves r=6cosx and r=6sinx(adsbygoogle = window.adsbygoogle || []).push({});

i know that if you graph those two functions you get two circles, both with radius 3, the first one has its center on the cartesian x axis and the other has its center on the y axis.

i also know that if you draw a line through the center of where they meet the angle of that line is pi/4

what i dont know is which function to integrate and what would be the lower limit of integration.

i know that the formula is 1/2 integral from a to b of (g(x)^2 - f(x)^2)

making 6sinx the second function makes sense since thats the bottom part of the area that i want to find but you cant make the first function 6cosx and integrate from 0 to pi/4 because that would give you more than just where the two functions overlap

any help or ideas about how to solve this would be appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Find the area of the region shared by the curves

**Physics Forums | Science Articles, Homework Help, Discussion**