Degree and Radian Measure Formula
In mathematics, the radian is the standard unit of angular measure. An angle’s measurement in radians is numerically equal to the length of a corresponding arc of a unit circle. The relationship or the connection between the arc length and radius of a circle defines the radian of a circle. Degree and radian formula used to convert, degree to radian or radian to degree.
\[\LARGE Radian=\frac{Arc\;Length}{Radius\;Length}\]
\[\LARGE Radian=\frac{Degree\times \pi}{180}\]
Here are few Degree Measures and their corresponding Radian Measures –Â
30° = π/6
45° = π/4
60° = π/3
90° = π/2
120° = 2π/3
135° = 3π/4
150° = 5π/6
180° = π
210° = 7π/6
225° = 5π/5
240° = 4π/3
270° = 3π/2
300° = 5π/3
315° = 7π/4
330° = 11π/6
360° = 2π
Solved Example
Question:
Solution:
Given,
Degree = 220°
We know that,
Radian = Â
Radian =
Radian =
Radian =
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