Use polar coordinates to determine the average value of the distance from any point in the interior of the disk x^2+y^2=4 to the boundary of the disk.

Question

anonymous · Answer

Can we take that point as Centre??

anonymous · Answer

I'm not sure, this is the only information given.

anonymous · Answer

Or, we have to find the general distance??

anonymous · Answer

A distance valid for all the points..

ganeshie8 · Answer

yeah the distance function should be setup between any point interior to disk and the boundary

perl · Answer

pick two points (x1,y1) and (x2,y2)

ganeshie8 · Answer

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ganeshie8 · Answer

it should be the perpendicular distance to the boundary

anonymous · Answer

Is it the Shortest Distance or the Average Distance??

anonymous · Answer

But that will be the shortest distance..??

anonymous · Answer

Average I believe.

ganeshie8 · Answer

average distance can be calculated by integrating the distance function

ganeshie8 · Answer

yeah this is also an interesting problem

perl · Answer

a more challenging problem is finding the average distance between any two points inside a circle of radius r

perl · Answer

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