π radians
180
π radians is an angular measurement used in mathematics and physics to describe the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle. It is equal to 180 degrees or half of a circle. The symbol for pi radians is π rad.
To understand pi radians, it is important to know that every circle has 360 degrees or 2π radians. Therefore, 180 degrees or π radians is equivalent to half of that. In other words, if you go halfway around a circle, you have traveled an angle of 180 degrees or π radians.
Pi radians is also important in trigonometry, as it is used to convert between degrees and radians. To convert from degrees to radians, you can use the formula:
radians = degrees × π/180
Likewise, to convert from radians to degrees, you can use the formula:
degrees = radians × 180/π
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