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 Proof Formulas of Area of Equilateral Triangle & Right Angle Triangle What is Triangle? Area of a Triangle Formula & Perimeter of a Triangle What is Binary? Binary to Decimal & Decimal to Binary Formula What is Cyclic Quadrilateral? Cyclic Quadrilateral Theorem Proof & Formula What is Pentagon? Area of a Pentagon Formula List of all Basic Perimeter Formulas What Is Loan Amortization Formula? Calculation & Example? Inscribed Angle Theorems Proof | Inscribed Angle Theorem Formula Equation of a Circle Formula with Problem Solution & Solved Example List of Maths Formulas for Class 9th CBSE List of Maths Formulas for Class 10th CBSE Circle Graph Formula with Problem Solution & Solved Example Chord Length Formula with Problem Solution & Solved Example Diagonal Formula with Problem Solution & Solved Example Area of Isosceles Triangle Formula | Perimeter of a Isosceles Triangle 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 Latest Popular Guest Post1 week ago Artificial Intelligence & Its Bind With Online Retail Guest Post1 week ago The Obstacles Are on the Way of Higher Education for Minorities Guest Post2 weeks ago 11 Online Training Platforms to Help You Prepare for a Career Move Guest Post2 weeks ago Why should you learn Python for data science? Guest Post2 weeks ago Why Is Marketo the Number One Choice as a Marketing Automation Platform? Guest Post2 weeks ago 10 Best Cross-Platform Mobile Development Tools Guest Post2 weeks ago How should you choose a programming language for kids? Guest Post3 weeks ago 10 Key Benefits of CRM and Why You Should Use Them Guest Post4 weeks ago Catch Exception using a Middleware in ASP.NET core Guest Post1 month ago Education is the beacon of Life Math10 months ago List of Basic Maths Formulas for Class 5 to 12 Math10 months ago Average Rate Of Change Formula Made Simple Math2 years ago Percentage Formulas | How to Calculate Percentages of a Number? Math2 years ago Surface Area of a Triangular Prism Formula & Volume of a Triangular Math2 years ago Y Intercept & X Intercept Formula | Slope Intercept Form & Equation Math2 years ago Triangular Pyramid Formula | Volume & Surface Area of a Triangular Pyramid Math2 years ago What is (a-b)^3 Formula? a^3-b^3 Formula | (a-b)^2 | (a+b-c)^2 Math2 years ago What is Integration? List of Integration by Parts Formulas Math2 years ago What Is Loan Amortization Formula? Calculation & Example? Math10 months ago List of Basic Algebra Formulas for Class 5 to 12 Advertisement