 Hello and welcome to the session. Today we will discuss the following question which says in figure find the perimeter of shaded region where ADC, AAB and VFC are semicircles on diameters AC, AB and BC respectively. Let's see its solution. We are given that ADC, AAB and VFC are semicircles on the diameters AC, AB and BC and we need to find out the perimeter of the shaded region. So perimeter of the shaded region will be equal to the perimeter of the semicircle ADC plus the perimeter of the semicircle AAB plus the perimeter of the semicircle VFC. So we have perimeter of the shaded region is equal to perimeter of semicircle ADC plus perimeter of semicircle AAB plus perimeter of semicircle VFC. So now first of all let us find out the perimeter of the semicircle ADC. Here AB is equal to 2.8 centimeters and BC is equal to 1.4 centimeters. So the length of AC will be equal to 2.8 centimeters plus 1.4 centimeters which will be equal to 4.2 centimeters. So now the perimeter of the semicircle ADC will be pi into diameter AC upon 2 plus now the perimeter of the semicircle AAB will be equal to pi into the diameter AB upon 2 plus the perimeter of the semicircle VFC will be pi into the diameter BC upon 2 because perimeter of semicircle is given by pi R that is pi into D upon 2. So now the perimeter of the shaded region will be pi into AC upon 2 that is 4.2 upon 2 plus this will be pi into AB upon 2 that is pi into 2.8 upon 2 plus pi into BC upon 2 that is 1.4 upon 2 centimeters. Now this will give us 2.1 pi plus 1.4 pi plus 0.7 centimeters. Now let us take pi common so this will be equal to pi into 2.1 plus 1.4 plus 0.7 centimeters. Now the value of pi is 22 by 7 so this will be equal to 22 by 7 into 4.2 centimeters and this will be equal to 13.2 centimeters. Thus the perimeter of the shaded region is 13.2 centimeters and this is the required answer for this question. With this we finish this session hope you must have understood the question goodbye take care and keep smiling.