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Radian Measure of Angles Video Lecture | Mathematics (Maths) Class 11 - Commerce

75 videos|238 docs|91 tests

Timeline

00:03 Angle Measurement in Degrees
00:32 Introduction to Radians
00:46 What are Radians?
01:59 How are Radians related to Degrees?
02:14 Conversion of Radians to Degrees
03:50 Equations for Degrees to Radians Conversion
04:59 One Radian equal to how many Degrees?
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FAQs on Radian Measure of Angles Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is the definition of radian measure of angles?
Ans. The radian measure of an angle is a unit of measurement for angles, defined as the ratio of the length of the arc it subtends on a circle to the radius of that circle.
2. How is the radian measure of an angle related to degrees?
Ans. The radian measure of an angle can be converted to degrees by using the conversion factor of 180 degrees equals pi radians, or 1 radian equals 180/pi degrees.
3. Why is the radian measure of angles important in mathematics and physics?
Ans. Radian measure is preferred in mathematics and physics because it simplifies calculations involving angles, especially when dealing with trigonometric functions. It provides a more natural and intuitive way to express angles in various mathematical and physical contexts.
4. How can I convert degrees to radians?
Ans. To convert degrees to radians, multiply the degree measure by pi/180. For example, to convert 45 degrees to radians, multiply 45 by pi/180 to get the equivalent value in radians.
5. Can you provide an example of how to use radian measure in a trigonometric function?
Ans. Sure! Let's consider the sine function. If we have an angle of 30 degrees, we can convert it to radians by multiplying by pi/180, which gives us pi/6 radians. Then, we can use this radian measure to find the sine of the angle, which would be sin(pi/6).
75 videos|238 docs|91 tests

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