 Hello and welcome to the session I am Deepika here. Let's discuss a question which says, in the given figure an umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 centimeter find the area between the 2 consecutive ribs of the umbrella. Now the given problem is based on the area of a sector of a circle and we know that area of the sector of an angle theta is equal to theta upon 360 into pi r square where r is the radius of the circle and theta the angle of sector in degrees. So this is a key idea behind that question. We will take the help of this key idea to solve the above question. So let's start the solution. Now it is given that an umbrella has 8 ribs which are equally spaced assuming umbrella to be a flat circle of radius 45 centimeter. So given radius of the circle is equal to 45 centimeter. Now this area is divided into 8 equal parts. Now we can consider this circular region to be a sector forming an angle of 360 degree at the center. Therefore angle of each sector is equal to 360 degree upon 8 and this is equal to 45 degree. Now the area between the 2 consecutive ribs of the umbrella equal to area of the sector. Now we know the formula of area of the sector of angle theta is equal to theta upon 360 into pi r square and theta is 45 degree here. So this is equal to 45 upon 360 into take pi is equal to 22 upon 7 into r square that is 45 centimeter into 45 centimeter. So on cancellation we have and this is equal to 11 into 45 into 45 upon 28 centimeter square and this is equal to 2275 upon 28 centimeter square. Hence the area between the 2 consecutive ribs of the umbrella is 22275 upon 28 centimeter square and this is our answer. I hope the solution is clear to you. Bye and take care.