00:01
Hi, i'm david and i'm hitchie hamian and send your question.
00:03
Now let me bring up your question here.
00:07
In the question here, let me draw the graph to illustrate the question here.
00:14
We will have this will be the x and this will be the y.
00:17
We will have the rectangle, will be embedded into the semicircle with the radius equal to the 3.
00:23
So let's say this will be the radius of the 3 on the semicircle.
00:29
And then we will embed the rectangle of the 3 inside here and then we will see the distance from here to here will be let's say this will be x isn't also x by the symmetry so this will mean the width the base it will equal to the 2x and then the height from here to here it will be the height and the height we remember for the semicircle with the radius equal to the 3 y it will equal to the square root of the 9 minus the x square.
01:09
Therefore this will have the square root on the 9 minus the x square.
01:14
Therefore we can write down the area on the rectangle.
01:17
It will equal to the base will be the 2x times the height will be the square root of the 9 minus the x square...