Area with polar coordinates - parametric equations, Mathematics

Assignment Help:

Area with Polar Coordinates

In this part we are going to look at areas enclosed via polar curves.  Note also that we said "enclosed by" in place of "under" as we usually have in these problems.  These problems work a little in a different way in polar coordinates.  Here is a drawing of what the area that we'll be finding in this part looks like.

2193_Area with Polar Coordinates - Parametric Equations.png

We'll be searching for the shaded area in the sketch above.  The formula for finding this area is as follow:

A = ∫βα ½ r2

Note: We use r in the integral instead of f (θ) so make sure and substitute as per when doing the integral.


Related Discussions:- Area with polar coordinates - parametric equations

Introduction to ones tens and more, INTRODUCTION :  We are often confronte...

INTRODUCTION :  We are often confronted with children not being able to deal with H T 0, i.e. 'hundreds', 'tens' and 'ones' (or 'units'), with comfort, though they are supposed to

Geometry, #question.onstruct/draw geometric shapes with specific condition....

#question.onstruct/draw geometric shapes with specific condition.

Evaluate the area of circle, If the radius of a sphere is doubled, the surf...

If the radius of a sphere is doubled, the surface area is a. multiplied by 4. b. multiplied by 2. c. multiplied by 3. d. multiplied by 8. a. The formula for the surf

Permutations and Combinations, How many 4 digit number lass than 6000 can b...

How many 4 digit number lass than 6000 can be made with the digits 7,6,4 and 2 if digits are not repeated?

Find out solutions to second order differential equations, Find out some so...

Find out some solutions to y′′ - 9 y = 0 Solution  We can find some solutions here simply through inspection. We require functions whose second derivative is 9 times the

Utilizes second derivative test to classify critical point, Utilizes the se...

Utilizes the second derivative test to classify the critical points of the function,                                               h ( x ) = 3x 5 - 5x 3 + 3 Solution T

Solving trig equations, Solving Trig Equations : Here we will discuss on s...

Solving Trig Equations : Here we will discuss on solving trig equations. It is something which you will be asked to do on a fairly regular basis in my class. Let's just see the

Find the volume and surface area of the double cone formed, A right triangl...

A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Ans : 3768cu.cm,1318.8

Bernoulli differential equations, In this case we are going to consider dif...

In this case we are going to consider differential equations in the form, y ′ +  p   ( x ) y =  q   ( x ) y n Here p(x) and q(x) are continuous functions in the

Shares and dividends, at what price 6.25% rs 100 share be quoted when the m...

at what price 6.25% rs 100 share be quoted when the money is worth 5%

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd