This course Covers Angles and its measurements from the textbook of HSC Science Std 11th. For students, each and every sum is solved and explained. Enjoy learning!!
Topics students will learn in this course are as follows -
1. Length of the arc
2. Area of the sector
3. Radian Measurement
4. Degree Measurement
5. Radian to degree conversion of angle and vice versa.
Degree to radian conversion
Length of the arc
Area of the sector
Anyone who wants to learn
As you are studying Angles and Measurements in this course, here are some highlighted points and terms you need to study.
When you have mastered the concept of points, lines, and planes, you can then think about what happens when two lines or rays meet at a point. This creates an angle between them.
We use angles throughout geometry to analyze shapes like polygons and polyhedrons. We also use angles to describe the behavior of lines, so we should become acquainted with angles, their terms, and how we measure and describe them. In this course, you will better understand angles and measurements.
Angle measurement Requirements :
Protractors are commonly used to measure angles. For example, circular or semicircular protractors are usually made of transparent plastic, so they can be placed over shapes on a piece of paper and used to measure angles.
When studying angles and Measurements, these are the terms you need to understand:
What is an Angle?
The chapter begins with basics. An angle is the rotation of a ray from its initial point to its terminal point. Examples include:
1) Initial side: the original ray
2) Terminal side: the final position of the ray after rotation
3) Vertex: point of rotation
4) Positive angle: if the direction of rotation is anticlockwise
5) Negative angle: if the direction of rotation is clockwise
Properties of Angles
Angles are measured in degrees, a measure of circularity or rotation.
One full rotation is 360°, which would bring you back to your original position. Hence, a half-circle is 180°, and a quarter-circle, or right angle, is 90°.
What are Degrees or Radians?
To describe or measure an angle, we usually use 'degrees' as the unit of measurement. You may find that angles are sometimes referred to in radians, however.
The radian is the standard unit of measurement for angles in the Standard International System (SI).
Our previous discussion mentioned that the full rotation of angles through a circular arc is 360°. Therefore, it is also equal to 2π radians, where π (pi) is a special number equaling (approximately) 3.142 (there is more about π on our page on Special Numbers and Concepts).
Radians are represented by 360/2* = 57.3°. Pi is also used to calculate areas and circumferences of circles and to calculate sphere volumes. For more information, review the course and understand it in detail.