(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the area between the two curves:

[tex]r=2sin(\theta), r=2(1-sin(\theta))[/tex]

2. Relevant equations

[tex]

A=\frac{1}{2} \int_{\beta}^{\alpha} r^2 d\theta

[/tex]

3. The attempt at a solution

I've got the points of intersection at [tex](1,\frac{1}{6}\pi) and (1,\frac{5}{6}\pi)[/tex] and worked out the answer to be [tex]\frac{8}{3}-4\sqrt{3}[/tex] using the angles in the above polar co-ordinates as the limits, however my textbook says that the answer is [tex]\frac{7}{3}-4\sqrt{3}[/tex] Is anyone able to confirm which is the correct answer.

Thanks in advance

Charismaztex

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

Dismiss Notice

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: Area between two polar curves

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