 Hi and welcome to the session. Let us discuss the following question which says, find the degree measure of the angle subtended at the center of a circle of radius 100 centimeter by an arc of length 22 centimeter. Start with the solution and we are given a circle of radius 100 centimeter and length of the arc is equal to 22 centimeter and we are required to find the degree measure of the angle subtended at the center. So we are given a circle with radius 100 centimeter and arc of the circle is 22 centimeter and we are required to find the angle. Let this angle be denoted by theta. Now length of the arc is equal to 2 pi r into theta upon 360 where r is the radius of the circle. Now length of the arc is equal to 22 centimeter and we have 2 into pi radius of the circle is 100 into theta we have to find out upon 360. So theta is equal to on cross multiplying 22 into 360. Upon 2 pi into 100 now pi is equal to 22 upon 7 so we have 22 into 360 upon 2 into 22 into 100 into 7. Now 2 into 180 is a 360 0 cancels out with 0 22 by 22 then we have 18 into 7 upon 10. Now again 2 is the common factor in the numerator and denominator so 2 pi is the 10, 2 nines are 18. So we have 63 upon 5 degrees. So this is 12 10 3 upon 5 degree and next form which is equal to 12 plus 3 upon 5 into 60 minutes and this is a degree since 1 degree is equal to 60 minutes and in solving we have 12 degrees plus 5 12s is 60 and 12 into 3 is 36 minutes which is equal to 12 degrees and 36 minutes and therefore it is subtended at the same term is equal to 12 degrees and 36 minutes. So this completes the solution hope you enjoyed it take care and have a good day.