 Hello and welcome to the session. I am Deepika here. Let's discuss a question which says to want ships for underwater Rocks a lighthouse spreads a red-colored light over a sector of angle 80 degree to a distance of 16.5 kilometer Find the area of the sea which the ships are want use pi is equal to 3.14 Now this problem is based on the Area of a sector of a circle we know that the area of Sector of angle theta is equal to top on 360 into pi r square where r is the Radius of the circle theta the angle of the sector in degrees So this is a key idea behind our question We will take the help of this key idea to solve the question. So let's start the solution Now according to the question to want ship for underwater rocks a lighthouse spreads a red-colored light Over a sector of angle 80 degree to a distance of 16.5 kilometer Hence we are given angle of the sector that is Theta is equal to 80 degree and Radius of this sector font is equal to 16.5 kilometer now according to our key idea the area of this sector of angle theta is equal to Theta upon 360 into pi r square Here theta is 80 degree. So 80 upon 360 Take pi is equal to 3.14 Into r square that is 16.5 into 16.5 Kilometer square and This is equal to going to 3.14 into 16.5 into 16.5 upon 9 Kilometer square and this is equal to 1709 point 7300 upon 9 Kilometer square and this is equal to 189 point 97 Kilometer square Hence the answer for the above question is The area of the sea over which the ships are born is 189 point 97 kilometer square. I hope the solution is clear to you. Bye and take care