Let's do this question, BQ is a diameter of the circle, or as is parallel to BQ, B are is equal to
askew is equal to six centimeter.
All right, find out.
Just given that the radius of the circle is five centimeter was the video.
Give it a try and then let's do it together.
All right.
We're back.
Let's do it together.
Now, over here.
BQ is a diameter, right?
And we know that the radius is five centimeter.
Therefore, P Q is equal to two in the five.
That gives you 10 centimeter.
All right.
Now it's given PR is equal to askew is equal to six centimeter.
Let's mark that over here.
So Paris six and Q is six.
All right.
Now let's join B and S all right.
And you can see that angle P.
Q is equal to 90 degrees, right?
Why is that so?
Because P Q is the diameter and we know that angle sub-standard by the diameter is the right angle to
angle P Q is equal to 90 degrees.
All right.
Now in right angle triangle P Askew over here we have Pexton and ask us six.
So using Pythagoras Theorem we can find a square root of ten squared minus six square that gives you
sixty four square root of sixty four which is equal to eight already.
So we got both.
Now let the height through vertex is of triangle P, Q, B over here and let it be attached to the area
of triangle pieces.
Q can be found this half in two pieces into a skew.
Right, because this angle is ninety degrees.
We know area is half in the base in the height.
But if I take a skew as the base as will be the height because this angle is ninety degrees to area
of triangle Q is equal to half in the piece in the Q and if I take P Q as the base then this over here
that is X is the height.
So this same area will be equal to half in the etching.
The P q now over here I have is equal to eight and askew is equal to six.
Right.
And P Q is equal to ten.
So let me substitute that over here.
So I get eight in the six is equal to each in 210 or solving it.
I get it is equal to four point eight.
All right.
Now let's proceed.
Let me drop a perpendicular from our also so that this one over here.
Now, let me take this point, this point and let this distance AQ be equal to X.
Now, consider the right angle triangle s AQ because this is a 90 degree angle.
Right, because we dropped the perpendicular now in right angle triangle essay.
Q You can see that skew is the hypotenuse and one side is edge and the other side is X.
So six square is equal to eight squared plus X square.
Now using this you can find that X squared is equal to six squared, minus four point eight squared
because we found that it is equal to four point eight.
Now remember is squared minus B square is equal to A, minus B into A plus B, right.
So you must have known that in your algebra.
So square is a square minus because it minus being A plus B, so I use that to solve this faster.
So this becomes six minus four point eight in the six plus four point eight.
That is one point two in two, ten point eight.
All right.
Let me make some space over here now on solving this.
You can find that X is equal to square root of twelve point nine six, and that is equal to approximately
three point six.
In a previous video in the section on numbers, we had seen how to find the approximate square root.
Right.
If you don't remember that, please go and refer that variable.
So that will help you to find this as three point six.
Let me quickly summarize it over here, then you're screwed over here is square root of nine.
That gives you three, right?
So this is approximately square root of thirteen twelve point nine six.
And that is approximately nine plus four right now.
Square root of nine is three and you are left with four.
So this becomes three plus four, divided by two in three D three.
Right.
So that's three plus four by six.
And that gives you three point six.
Right.
Because four by six point six.
Six six extra.
So I take you this point six.
All right.
Let me make some space over here.
So we have found that the value of X is approximately three point six.
All right, now we need to find our S from this diagram, you can see that Otter's is equal to that
is equal minus X, minus X.
This also will be x rayed because these two triangles are congruent because this is also six is also
six.
Right.
So this is also X.
This is also X, so 10 minus two.
That is ten minus two in the three point six.
We'll give you the value of our X.
And that is equal to two point eight centimeter, and that is the solution to this question.