Angle and its Measurement 11th Science

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Directed Angles: The ordered pair of rays (OA,OB) together with the rotation of the ray OA to the position of the ray OB is called the directed angle. If the rotation of the initial ray is anticlockwise then the measure of directed angle is considered as positive and if it is clockwise then the measure of directed angle is considered as negative. In the ordered pair (OA,OB), the ray OA is called the initial arm and the ray OB is called the terminal arm.

Zero angle: If the ray OA has zero rotation, that is it does not rotate, the initial arm itself is a terminal arm OB, the angle so formed is zero angle.

One rotation angle: After one complete rotation if the initial ray OA coincides with the terminal ray OB then so formed angle is known as one rotation angle

Straight angle: After the rotation, if the initial ray OA and the terminal ray OB are in opposite directions then directed angle so formed is known as straight angle.

Right angle: One fourth of one rotation angle is called as one right angle, it is also half of a straight angle. One rotation angle is four right angles.

Right angle: One fourth of one rotation angle is called as one right angle, it is also half of a straight angle. One rotation angle is four right angles

Angle in a Quadrant: A directed angle in standard position is said to be in a particular quadrant if its terminal ray lies in that quadrant.

Quadrantal Angles: A directed angle in standard position whose terminal ray lies along X-axis or Y-axis is called a quadrantal angle.

Co-terminal angles: Directed angles of different amount of rotation having the same positions of, initial rays and terminal rays are called co-terminal angles.

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