 Hi and welcome to the session. I am Asha and I am going to help you with the following question which says Find the degree measure corresponding to the following gradient measures first is 11 upon 16 So first let us learn that pi radians is equal to 180 degree since if we have a circle with center O Then it subtends at the center an angle whose radian measure is 2 pi and Degree measure is 360 so we have 2 pi radians is equal to 360 degree Which implies that pi radian is equal to 180 degree So this is the relation between radian and degree also One degree is equal to 60 minutes and One minute is equal to 60 seconds So these are not ideas with the help of which all the above problems. So these are the ideas Let us now begin with the solution and we have 11 upon 16 radian Now since pi radian is equal to 180 degrees So what radian is equal to 180 upon pi degrees therefore 11 upon 16 radian Will be equal to 11 upon 16 into 180 degrees upon pi and now since pi is equal to 22 upon 7 Therefore, we have 11 upon 16 into 180 degrees upon 22 into 7 which is further equal to 3465 upon 88 and now let us divide 3465 by 88 88 into 3 is 264 and it is the remainder when 264 is subtracted from 346 Now we have 5 88 into 9 is 792 And now the remainder is 33 Now this 33 is in degrees which is equal to 33 into 60 minutes and Multiplying 33 with 60 we get 1 9 8 0 minutes Now let us divide 1 9 8 0 by 88 88 into 2 is 176 And subtracting we have 22 so 220 and 88 into 2 is 176 And subtracting we have 44 is the remainder which is 44 minutes which is equal to 44 into 60 seconds Which is equal to 2640 seconds Now let us divide 2640 seconds by 88 And we have Fraser 264 into 0 and the remainder is 0 so 11 upon 16 degrees is equal to 39 degrees 22 minutes 30 seconds So the answer is 39 degrees 22 minutes and 30 seconds So this completes the session. Hope you enjoyed it. Take care and have a good day