Math Degree and Radian Measure Formula with Problem Solution More Videos In mathematics, the radian is defined as the standard unit for measurement of angles. The measurement in angles is usually equal to the total length of a corresponding arc in a unit circle. The relationship between arch length and radius of a circle is generally defined with the help of radian of a circle. Degree and radian measure formula in mathematics is generally needed to convert degrees to radian and radians to degrees. Degree and Radian Measure Formula \[\LARGE Radian=\frac{Arc\;Length}{Radius\;Length}\] \[\LARGE Radian=\frac{Degree\times \pi}{180}\] Further, degrees can be used to define the directionality and the size of an angle. If you are standing straight directly to north then it is defined as the zero degree if you end up again in North after a complete turn then the full revolution is marked as the 360°. Next is radian but the question is why do we need to learn radian when we have the degrees. Actually, we need number to perform calculations in mathematics. There is nothing to do with degrees until they are converted to some equivalent form. If we right it as 2π then it is more significant than the previous ones. Here, are how degrees can be converted to radians in mathematics. 360°=2π radians, and 180°=π radians For me, both degrees and radian had their own place. Once you are sure how to play with these two popular terms then mathematical calculations would be much simpler than your expectations. Also, you should check either the rotation is clockwise or anticlockwise to make the solutions more accurate and precise. Related posts: List of Basic Maths Formulas for Class 5 to 12 Central Angle of a Circle Formula | Tangent, Great & Unit Surface Area of Circle Formula | Area of Sector & Segment of a Circle What is Octagon? Area of an Octagon Formula Right Angle Formula| Half-Angle, Double Angle, Multiple What is Quadrilateral Theorem? Quadrilateral Formula & Quadrilateral Theorem Proof What is Triangle? Area of a Triangle Formula & Perimeter of a Triangle What is Cyclic Quadrilateral? Cyclic Quadrilateral Theorem Proof & Formula What is Pentagon? Area of a Pentagon Formula Proof Formulas of Area of Equilateral Triangle & Right Angle Triangle Inscribed Angle Theorems Proof | Inscribed Angle Theorem Formula Lines and Angles Formulas for Class 7 List of Maths Formulas for Class 9th CBSE What is Binary? Binary to Decimal & Decimal to Binary Formula Equation of a Circle Formula with Problem Solution & Solved Example Chord Length Formula with Problem Solution & Solved Example List of Basic Algebra Formulas for Class 5 to 12 Area of Isosceles Triangle Formula | Perimeter of a Isosceles Triangle Perimeter of a Polygon Formula | Diagonal & Area of Regular Polygon Perimeter of Hexagon Formula | Area of a Hexagon Formula Related Topics: Up Next Class 7 Math Formulas – Chapter 1 Integers Formula Don't Miss Consecutive Integers Formula with Problem Solution & Solved Example Continue Reading