00:01
We're given here the radius of a circle is 6 units radius is 6 units that is given and the measure of central angle acb is 5 by 2 this is 90 that is 5 by 2 right now we're on to the first part what is the approximate area of the entire circle? so we have area of circle is given as area of circle that is 5 r square that is the area of a circle right so r 6 just put that here there'll be pi into 6 square right so that is given as 5 you can take it as 3 .14 because we need to find out the approximate area so 3 .14 times 36 just calculate that 3 .14 times 36 just calculate that that is coming out to be 113 .04.
01:20
113 .04, right? this is the coming out to be the approximate area in square units, right? 113 .04.
01:32
The next part is we're going to find out the approximate area of the entire sector created by this angle.
01:41
So area of the sector here, area of sector here we have acb, area of sector, right? so the formula is say we have, that is given as theta over 360 into 5 r squared.
02:05
That's a formula.
02:06
Theta is 90 here.
02:07
The angle is forming out to be 90.
02:09
So 90 over 360 times we have 5r square.
02:16
So 5 is 3 .14 times r.
02:19
R is 6 square.
02:21
That's going to have to be 1 over 4.
02:23
So let me separate this.
02:26
Will be 1 over 4 times 3 .14 times 36...