discover the area of the region that lies inside both curves $r=3+2\cos\theta ; r=3+2\sin\theta$

The clues of intersection need to be $\frac \pi4 and also \frac 5\pi4 $

I don"t think this graphs space symmetrical and also I am lost setting up the problem. Any help would be significantly appreciated.

You are watching: Find the area of the region that lies inside both curves. r = 3 cos(θ), r = sin(θ)



If you like seeing points visually, attract a graph to aid you watch the picture more clearly.

First point to do is to set the two equations equal to one another and also solve because that theta.

So, as we can see $sin\theta = cos\theta$, for this reason the intersection points would be $\frac \pi4 and \frac 5\pi4 $.

Now, let"s draw the graph:*sin%28x%29%2C+r+%3D+3+%2B+2*cos%28x%29+polar

As we deserve to see, the area would certainly be the area for $3 + 2cos\theta$ from $\pi/4$ come $5\pi/4.$

Therefore, the integral would be $(1/2)*(3 + 2cos\theta)^2$ indigenous $\pi/4$ to $5\pi/4$

edited Dec 23 "15 at 12:16
reply Jun 28 "14 at 20:52

Varun IyerVarun Iyer
5,8581313 silver badges2929 bronze title
add a comment |

your Answer

Thanks because that contributing response to sommos.netematics ridge Exchange!

Please be certain to answer the question. Carry out details and also share your research!

But avoid

Asking for help, clarification, or responding to other answers.Making statements based upon opinion; back them increase with references or personal experience.

Use sommos.netJax to layout equations. Sommos.netJax reference.

To find out more, check out our advice on writing great answers.

See more: How To Use Ring Of Lucii Ring Properly? Ring Of The Lucii

Draft saved
Draft discarded

Sign up or log in

sign up utilizing Google
authorize up using Facebook
sign up making use of Email and Password

Post together a guest

email Required, yet never shown

Post together a guest


Required, yet never shown

post Your answer Discard

By click “Post her Answer”, girlfriend agree come our regards to service, privacy policy and also cookie plan

Not the prize you're looking for? Browse other questions tagged calculus polar-coordinates or ask your own question.

Featured top top Meta
uncover the area that the region inside: $r= 6\sin(\theta)$ yet outside the $r = 1$
discover the area the the an ar determined by 2 curves
area in between polar equation $r = \sin\theta$ and $r = \cos\theta$
analyzing the area in between the curve $r=2\sin\theta$ and $r=\sin\theta+\cos\theta$
Area in between two polar curve $r = 2 \sin\theta$ and also $r =2\cos\theta$
find the area the the entire region that lies in between $r=1+\sin\theta; r=1+\cos\theta$
discover the area that the region outside $r=4−3\sin \theta$ yet inside $r=5\sin \theta$
What is the area that the region inside the limacon through equation $r=3+2 \sin (\theta)$ that lies listed below the heat $y=x$?
Area within the curve $r=1+\cos\theta$ in polar works with
find area lies within cardioid $r = 1 + \cos θ$ and also outside one $r = \cos θ$
warm Network concerns an ext hot inquiries

inquiry feed
subscribe to RSS
question feed To i ordered it to this RSS feed, copy and also paste this URL into your RSS reader.


ridge Exchange Network
site architecture / logo design © 2021 ridge Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.9.23.40291

sommos.netematics ridge Exchange works ideal with JavaScript allowed

your privacy

By click “Accept all cookies”, you agree ridge Exchange can store cookie on your machine and disclose info in accordance v our Cookie Policy.