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Prove that the ratio of no. of sexagesimal minutes to the no. of centesimal minutes in the same angle is 27:50

Prove that the ratio of no. of sexagesimal minutes to the no. of centesimal minutes in the same angle is 27:50

Grade:11

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
7 years ago
In Sexagesimal system, 1 right angle = 90 degrees and one degree = 60 minutes
So one right angle = 90 x 60 minutes

In Centesimal system, 1 right angle = 100 grades and one grade = 100 minutes
So one right angle = 100 x 100 minutes

Hence, from these :
Ratio in Sexagesimal : Centesimal = (90 x 60) : (100 x100) = 27 : 50

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