How Do You Convert 270 Degrees To Radians Class 11 Maths CBSE

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AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsHow do you convert $270$ degrees to radians? AnswerVerified529.3k+ viewsHint: To convert degree to radians we have a formula, which is given by: $x\deg ree = \dfrac{\pi }{{180}}x\, radians$. Now in place of $x$ substitute the value in terms of degree they have given and solve for the correct answer. That is by simply multiplying the degree they have given with $\dfrac{\pi }{{180}}$ you will get the required answer in terms of radians.Complete step-by-step answer:In the question they have given in terms of degree, that is $270$ degrees.They have asked to find the $270$ degrees in terms of radians.So to convert degree to radians we have a relation between degree and radians given by: $x\deg ree = \dfrac{\pi }{{180}}x\,radians$By using the above relation we need to find the required answer.From the above relation it is clear that one degree is equal to $\dfrac{\pi }{{180}}$ radians , that is if we substitute one in place of $x$ in relation equation.Now, to calculate $270$ degrees in terms of radians, just multiply $270$ with $\dfrac{\pi }{{180}}$ to arrive at the required answer.Therefore, we can write as${270^ \circ } = 270 \times \dfrac{\pi }{{180}}radians$Both $180$ and $270$ are divisible by $90$ so on simplification, we get${270^ \circ } = \dfrac{{3\pi }}{2}radians$Therefore, the $270$ degrees can be written as $\dfrac{{3\pi }}{2}$ radians.Note: In this conversion type problem one thing we need to remember is conversion formula. If we feel like this is a lengthy process whenever they ask to convert the degree to radian, directly divide the value given in terms of degree by $180$ and reduce that to its lowest terms. Then finally multiply the answer or the result you got by $\pi $ we will get the same answer.Recently Updated PagesMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 Economics: Engaging Questions & Answers for SuccessMaster Class 11 Social Science: Engaging Questions & Answers for SuccessMaster Class 11 English: Engaging Questions & Answers for SuccessMaster Class 11 Chemistry: Engaging Questions & Answers for SuccessMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 Economics: Engaging Questions & Answers for SuccessMaster Class 11 Social Science: Engaging Questions & Answers for SuccessMaster Class 11 English: Engaging Questions & Answers for SuccessMaster Class 11 Chemistry: Engaging Questions & Answers for Success

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