Converting 5/4 pi Radians to Degrees
In mathematics, radians and degrees are two different units of measurement used to express angles. Radians are a unit of circular angle, whereas degrees are a unit of plane angle. In this article, we will discuss how to convert 5/4 pi radians to degrees.
What is a Radian?
A radian is a unit of angular measurement that is defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle. It is a dimensionless unit, which means that it does not have any units of measurement.
What is a Degree?
A degree is a unit of angular measurement that is equal to 1/360 of a circle. It is a unit of plane angle, and it is commonly used in everyday life to measure angles.
Converting Radians to Degrees
To convert radians to degrees, we can use the following formula:
Degrees = (Radians × 180) / π
Converting 5/4 pi Radians to Degrees
Now, let's convert 5/4 pi radians to degrees using the formula above.
First, we need to substitute the value of pi radians into the formula:
Degrees = (5/4 × π × 180) / π
Next, we can simplify the equation by canceling out the π terms:
Degrees = (5/4 × 180)
Now, we can calculate the value:
Degrees = 225
Therefore, 5/4 pi radians is equal to 225 degrees.
Conclusion
In this article, we have converted 5/4 pi radians to degrees using the formula for converting radians to degrees. We hope that this article has been helpful in understanding how to convert between these two units of measurement.
