How To Find The Area Between Two Polar Curves

November 13, 2022 0 Comments

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How To Find The Area Between Two Polar Curves

How To Find The Area Between Two Polar Curves

I know that the graph of $r = 3 sin theta $ is different at $ theta = 0 $ and at $ theta = pi $ why these two limits are not used and why $ theta $ only equals $ pi$? The graph $r=3costheta$ also connects the pole at $theta=frac, frac$. Why do they only use $frac$?

Solved] Polar Coordinates Polar Coordinates. 1. List All 4 Identities (…

Note that we are bounded by the area of ​​the red circle $($ lower part $)$ with $theta=0mboxtheta=dfrac$

Similarly, the purple partial circle $($upper half$)$ is bounded by $theta=dfrac$ in $dfrac$

Note that the error rate is in the first quadrant. This is approximated by $theta a a left[0, ;frac pi2right]$.

Let A and B be two points of intersection of the circles, A is (0, 0) and B is (1.5, 1.5). It is easy to see that the arc formed by the center of the circle and A and B has a ratio of $pi/2$. Therefore, the area of ​​this segment is $2.25pi/4$. The area of ​​the triangle formed by A, B, and the center of the circle is $2.25 / $2. Therefore, the area of ​​half of the desired area is $2.25pi/4 -2.25/2$ and the desired area is $5pi/4-2.25 $

Apex Calculus And Polar Functions

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