Question

# 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

Comparing two groups
Write the Different Ways of Measuring Angles The custom of measuring angles using degrees, with $$\displaystyle{360}^{\circ}$$ 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?

2020-11-09

There are three systems for the measurements of angles. That is,
(1) Sexagesimal system (unit is degree)
(2) Centesimal system (unit is grade)
Sexagesimal system: In this system, one right angle is equal to the 90 degrees (1 right angle $$\displaystyle={90}$$ degrees), one degree is equal to 60 minutes ($$\displaystyle{1}^{\circ}={60}$$ minutes) and one minute is equal to the 60 seconds ($$\displaystyle{1} \ minute={60}\ seconds$$).
Radian system! In this system, one right angle is equal to the 90 degrees ($$\displaystyle{1}\text{right angle}={90} \ degrees$$), one degree is equal to $$\displaystyle\frac{\pi}{{18}}0$$, radians and one minute is equal to the 60 seconds ($$\displaystyle{1} \ minute={60}\ seconds$$).
$$\displaystyle\pi\text{radian}={180}^{\circ}={200}^{g}$$