 Hello and welcome to the session. In this session, we are going to discuss the following question and the question says that convert each radian measure into degrees and degree measure into radians and A part is 440 degrees and the B part is minus of 53 pi whole upon 18 and we know that to convert radians into degree measure we use this result that is 1 radian is equal to 180 upon pi degrees that is 1 radian is given by 180 by pi degrees and to convert degrees into radian measure we use this result that is 1 degree is equal to pi upon 180 radians that is 1 degree is given by pi upon 180 radians with this key idea we shall proceed to the solution now in the A part of the question we have to convert 440 degrees in radian measure now from the key idea we know that to convert degrees into radian measure we use the result that is 1 degree is equal to pi upon 180 radians thus we can write 440 degrees would be equal to 440 into pi upon 180 radians and this is equal to 2 into 9 is 18 and 2 into 22 is 44 so we get 22 pi by 9 radians so we say that 440 degrees is equal to 22 pi by 9 radians now let us convert minus of 53 pi by 18 which is given in radian measure into degrees from the key idea we know that to convert radians into degree measure we use this result that is 1 radian is equal to 180 by pi degrees now we know that one radian is equal to 180 upon pi degrees thus minus of 53 pi by 18 can be written as minus 53 pi by 18 into 180 by pi degrees which is equal to 18 into 1 is 18 and 18 into 10 is 180 so we get minus of 530 degrees or it can also be written in this form that is minus of 530 degrees so we say that minus of 53 pi over 18 is equal to minus of 530 degrees which is the required answer this completes our session hope you enjoyed this session