00:01
So, this is the figure we got for the part a of the question.
00:04
So, here suppose we divide this region this is our first region and this is our second region and this is our third region.
00:14
For region first we have the center at this is x1, y1 is equal to the minus 1 minus 2 it is divided by 2 which is equal to the minus 3 divided by 2 this is the value for x1 and value of y1 is equal to the 2 minus 0 divided by 2 which is equal to the 1.
00:38
So, we get x1, y1 is equal to the minus 3 divided by 2, 1.
00:46
So, for region second we have the center at x2, y2 is equal to the 1 minus 1 divided by 2, 1 minus 0 divided by 2 which is equal to the 0, 1 divided by 2 and for region third we get the have the center at this is x3, y3 is equal to the 3 minus 1 divided by 2, 3 minus 0 divided by 2.
01:20
So, we get here 1, 3 divided by 2.
01:24
So, now we will find out the centroid which we represent as x centroid, y centroid which is equal to the sigma and this is xi, this is sum for the all the x values divided by 3 and here we have sigma yi divided by 3.
01:44
So, when we solve this further we will get, so we will put all the values of x we will have minus 3 divided by 2 plus 0 plus 1 and this whole is divided by 3 and y similarly we do for y it will be 1 plus 1 divided by 2 plus 3 divided by 2 and this whole is divided by 3...