Converting 5 Degrees to Radians in Terms of Pi
In mathematics, angles can be measured in two ways: degrees and radians. While degrees are more commonly used in everyday life, radians are the preferred unit of measurement in mathematics and physics. In this article, we will explore how to convert 5 degrees to radians in terms of pi.
What are Radians?
Radians are a unit of measurement for angles, just like degrees. However, unlike degrees, radians are based on the radius of a circle. One radian is equal to the angle subtended by a circular arc of length equal to the radius of the circle.
The Relationship between Degrees and Radians
To convert degrees to radians, we need to know the relationship between the two units of measurement. One radian is equal to 180/π degrees. This means that to convert degrees to radians, we can multiply the number of degrees by π/180.
Converting 5 Degrees to Radians
Now, let's convert 5 degrees to radians. Using the formula above, we get:
5 degrees × π/180 = 5π/180 radians
Simplifying the Expression
To simplify the expression above, we can cancel out the 5 in the numerator and the 180 in the denominator:
5π/180 = π/36 radians
Therefore, 5 degrees is equal to π/36 radians.
Conclusion
In conclusion, converting 5 degrees to radians is a simple process that involves multiplying the number of degrees by π/180. By doing so, we get π/36 radians, which is the equivalent of 5 degrees in radians. Understanding the relationship between degrees and radians is essential in mathematics and physics, as it allows us to solve problems that involve circular motion and angular measurements.
