 Hi and welcome to the session. I am Neha and I am going to help you with the following question. The question says in the given figure A, B, C, D is a square of side 14 centimeter with centers A, B, C and D four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region. So here we have a square A, B, C, D and with centers A, B, C and D four circles are drawn and we need to find the area of the shaded region. Now before proceeding for the solution recall that area of a sector of a circle is equal to theta upon 360 into pi r square where r is the radius of the circle and theta is the angle of the sector in degrees. Also area of a square is side square. These formulas are the key idea for this question. Now let's see its solution and we need to find the area of this shaded region. So if we subtract the area of these four sectors from the area of the square A, B, C, D then we will get the area of the shaded region. So first of all let us find the area of the square A, B, C, D. Now in question we are given that A, B, C, D is a square of side 14 centimeters. So we have A, B equal to B, C equal to C, D equal to DA equal to 14 centimeters as each side of the square is equal. So area of the square A, B, C, D is equal to side square. So it will be 14 centimeter whole square and this will be equal to 196 centimeter square. Now the length of A, B is 14 centimeters. So clearly the radius of all the circles will be seven centimeters each. The area of these four sectors we can find out the area of one sector and then we can multiply it by four to get the area of all these four sectors. So we have radius of circle is equal to R is equal to seven centimeters. Also we know that all the angles of a square are 90 degrees. So that means here theta is equal to 90 degrees. So area of one sector is equal to from the key idea we know the formula to find out the area of sector that is theta upon 360 into pi R square. Now substituting the values we get theta is 90 upon 360 into pi the value of pi is 22 by 7 into R square that is 7 into 7 and the unit will be centimeter square. On simplifying this we get 1 upon 4 into 154 centimeter square. So we got the area of one sector therefore area of four sectors will be equal to 4 into 1 by 4 into 154 centimeter square. So here 4 and 4 will get canceled from the numerator and denominator and we are left with 154 centimeter square. Now let's find out the area of shaded region. So area of shaded region is equal to area of square a b c d minus area of four sectors that will be equal to here the area of square a b c d is 196 centimeter square. So this will be 196 centimeter square minus area of four sectors is 154 centimeter square. So this will be equal to 42 centimeter square. Therefore area of shaded region is equal to 42 centimeter square and thus 42 centimeter square is the required answer to this question. With this we finish this session. Hope you must have understood the question. Goodbye take care and have a nice day.