Math Assignment Help With Angles
When a ray OA starting from its original position, rotates about its fixed point O, to a final position OB, then an angle AOB is formed. Point O is called the Vertex of the angle.
9.2.1 Measure of the angle: It is defined as the amount of rotation from initial side to final side.
184.108.40.206 Degree measure (Sexagesimal System): The number of degrees on the circumference of circle between initial and final sides of the angle is called its degree measure. Each degree is divided into 60 equal parts called minutes and each minute is divided into another 60 equal parts named as seconds.
Degree is denoted by the symbol (o), minute is denoted by the symbol (‘) and second is denoted by the symbol (“).
Example: 35o 34’ 23’’ means 35 degrees 34 minutes and 23 seconds.
Types of angles: For an angle θ
Acute angle:- 0o ≤ θ <90o
Obtuse angle: 90o < θ <180o
Reflex angle: 180o < θ <360o
Right angle: θ = 90o
Straight angle: θ = 180o
220.127.116.11 Radian measure: It is the measure of an angle subtended at the centre of a circle of radius r by an arc of the length r. To convert from degrees to radians, multiply by (π/180o). To convert from radians
to degrees, multiply by (180o/π).
18.104.22.168 Grade measure: Each right angle is divided into 100 equal parts known as grades. Each grade is subdivided into 100 equal parts called as minutes. Each minute is subdivided into 100 equal parts known as seconds.
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