Write the Different Ways of Measuring Angles The custom of measuring angles using degrees, with displaystyle{360}^{circ} in a circle, dates back to th

sodni3

sodni3

Answered question

2020-11-08

Write the Different Ways of Measuring Angles The custom of measuring angles using degrees, with 360 in a circle, dates back to the ancient
Babylonians, who used a number system based on groups of 60. Another system of measuring angles divides the circle into 400 units, called grads. In this system a right angle is 100 grad, so this fits in with our base 10 number system.
Write a short essay comparing the advantages and disadvantages of these two systems and the radian system of measuring angles. Which system do you prefer?
Why?

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2020-11-09Added 100 answers

There are three different systems for measuring angles. That is,
(1) Sexagesimal system (unit is degree)
(2) Centesimal system (unit is grade)
(3) Radian or circular measure (unit is radian)
The following are comparisons between the three systems:
Sexagesimal system: In this system, one right angle is equal to the 90 degrees (1 right angle =90 degrees), one degree is equal to 60 minutes (1=60 minutes) and one minute is equal to the 60 seconds (1 minute=60 seconds).
Centesimal system: In this system, one right angle is equal to the 100 grades, one grade is equal to 100 minutes and one minute is equal to the 100.
Radian system! In this system, one right angle is equal to the 90 degrees (1right angle=90 degrees), one degree is equal to π180, radians and one minute is equal to the 60 seconds (1 minute=60 seconds).
πradian=180=200g
Because it provides the relationship of equivalence between the other two systems, the circular system, also known as the radian system, is preferred.

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