express the following angle into Radian 100g
Answers
Answer:
If rotation is anticlockwise, the angle is positive. If rotation is clockwise, the angle is negative. One full rotation indicates 360°.
An angle is said to be acute angle if 0° < 90°;
right angle if = 90°; obtuse angle if 90° < < 180°;
a straight angle if = 180°; and
a reflex angle if 180° < < 360°.
There are three systems of measurement of an angle:
Sexagesimal system
In this system an angle is measured in degrees, minutes and seconds. A complete rotation describes 360°.
1 right angle = 90° (Since right angle is 1/4 th of full rotation)
A degree is further subdivided as
1degree = 60 minutes, written as 60'
and 1 minute = 60 seconds, written as 60''.
Thus 30·25° = 30° 15', 1·5' = 1' 30'' etc.
We say that 30·25° is in degrees notation; 30° 15' is in degree-minute-second notation.
Centesimal system
In this system an angle is measured in grades, minutes and seconds.
Here 1 right angle = 100 grades, written as 100g.
1 grade = 100 minutes, written as 100` and
1 minute = 100 seconds, written as 100``.
Thus 30·25g = 30g25`, 1·5` = 1`50`` etc.
Step-by-step explanation: