How Many Radians Does It Take To Go 720 Degrees - Vedantu

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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 many radians does it take to go $720$ degrees ?AnswerVerified557.4k+ viewsHint: In the given question, we are required to convert the angle given in degree measure into radian measure. Radian is the SI unit for measuring angles. In order to convert the degree measure into radian measure, multiply the given degree measure with $\left[ {\dfrac{\pi }{{180}}} \right]$ to get the desired result.Complete step by step answer: The measure of an angle is controlled by the measure of pivot from the underlying side to the terminal side. In radians, one complete counter clockwise upheaval is $2\pi $and in degrees, one complete counterclockwise upset is $360$degrees. Along these lines, degree measure and radian measure are connected by the conditions:$2\pi $radians $ = {360^ \circ }$$\Rightarrow\pi $radians $ = {180^ \circ }$From the above mentioned equations or results, we get the condition $1$ radian $ = \dfrac{{180}}{\pi }$degrees. This leads us to the standard to change over degree measure to radian measure. To change over from degree to radian, we multiply the degree measure by $\dfrac{\pi }{{180}}$.So, in our question we are given ${330^ \circ }$.Multiplying both sides with ${330^ \circ }$.${720^ \circ } = \dfrac{{720\pi }}{{180}}$radiansCancelling the common factors in numerator and denominator, we get,$ \therefore {720^ \circ } = 4\pi $radiansTherefore, ${720^ \circ }$ in radians equal to $4\pi $ radians.Note:The radian, indicated by the symbol rad is the SI unit for measuring angles, and is the standard unit of angle measure utilized in numerous zones of arithmetic. The length of an arc of a unit circle is mathematically equivalent to the measurement in radians of the angle that it subtends; one radian is $\dfrac{{180}}{\pi }$ degrees. Don’t forget to Cross-check your answer. Recently Updated PagesWrite a brief account of abscisic acid class 11 biology CBSEPhotolysis of water involves a Excitement of water class 11 biology CBSEBoth wind and water pollinated flowers are not very class 11 biology CBSEWhich among the following has specialized tissue for class 11 biology CBSEGive one point of difference between the notochord class 11 biology CBSEWhat are the factors that are essential for photos class 11 biology CBSEWrite a brief account of abscisic acid class 11 biology CBSEPhotolysis of water involves a Excitement of water class 11 biology CBSEBoth wind and water pollinated flowers are not very class 11 biology CBSEWhich among the following has specialized tissue for class 11 biology CBSEGive one point of difference between the notochord class 11 biology CBSEWhat are the factors that are essential for photos class 11 biology CBSE

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