温馨提示：本站仅提供公开网络链接索引服务，不存储、不篡改任何第三方内容，所有内容版权归原作者所有
AI智能索引来源：http://www.edu.com/math-glossary/2-Radians-To-Degrees-Definition-Examples
点击访问原文链接

2 Radians to Degrees: Definition and Examples | EDU.COM

进入原网站 导航首页
2 Radians to Degrees: Definition and Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">2 Radians to Degrees2 Radians to Degrees: Definition and ExamplesTable of ContentsConverting 2 Radians to Degrees Definition of Radians and Degrees

Degrees and radians are units used to measure angles. A degree (denoted by °) is the amount of rotation from the initial arm to the terminal arm. A complete rotation around the center of a circle is 360°. If we divide a full circle into 360 equal parts, each part equals 1 degree. A radian, on the other hand, is defined as the angle that spans an arc whose length equals the radius of the circle. One radian is approximately 57.296°, making it much larger than one degree.

There is a clear conversion relationship between radians and degrees: a full circle is 2π radians or 360 degrees. Therefore, 1 radian = 180°π\frac{180°}{\pi}π180°​ ≈ 57.296°. Using this relationship, we can calculate that 2 radians = 2×180°π2 \times \frac{180°}{\pi}2×π180°​ ≈ 114.592°.

Examples of Converting 2 Radians to Degrees Example 1: Converting 2 Radians to Degrees Problem:

Convert 222 radians to degrees.

Step-by-step solution: Step 1, Use the standard conversion formula: degrees = radians × 180°π\frac{180°}{\pi}π180°​ Step 2, Substitute 222 radians: 2×180°π2 × \frac{180°}{\pi}2×π180°​ Step 3, Calculate: 222 × 180°π≈2×57.296°≈114.592°\frac{180°}{\pi} ≈ 2 × 57.296° ≈ 114.592°π180°​≈2×57.296°≈114.592°

Therefore, 222 radians equals approximately 114.592°114.592°114.592°.

Example 2: Converting 4 Radians to Degrees Problem:

Convert 444 radians to degrees.

Step-by-step solution: Step 1, Use the standard conversion formula: degrees = radians × 180°π\frac{180°}{\pi}π180°​ Step 2, Substitute 444 radians: 4×180°π4 × \frac{180°}{\pi}4×π180°​ Step 3, Calculate: 4×180°π≈4×57.296°≈229.183°4 × \frac{180°}{\pi} ≈ 4 × 57.296° ≈ 229.183°4×π180°​≈4×57.296°≈229.183°

Therefore, 444 radians equals approximately 229.183°229.183°229.183°.

Example 3: Converting a Fraction of a Radian Problem:

Convert 0.20.20.2 radian to degrees.

Step-by-step solution: Step 1, Use the standard conversion formula: degrees = radians × 180°π\frac{180°}{\pi}π180°​ Step 2, Substitute 0.20.20.2 radian: 0.2×180°π0.2 × \frac{180°}{\pi}0.2×π180°​ Step 3, Calculate: 0.2×180°π≈0.2×57.296°≈11.459°0.2 × \frac{180°}{\pi} ≈ 0.2 × 57.296° ≈ 11.459°0.2×π180°​≈0.2×57.296°≈11.459°

Therefore, 0.20.20.2 radian equals approximately 11.459°11.459°11.459°.

Comments(2)MMarketerSallyNovember 4, 2025This page on 2 radians to degrees is great! It helped my students grasp the concept easily. Thanks for the clear examples!

MCMs. CarterSeptember 17, 2025This site made explaining radians to my son so much easier! The step-by-step examples for converting 2 radians to degrees were super clear. He’s finally getting it—thank you!

Explore More TermsDivisibility RulesImproper Fraction to Mixed NumberWhole NumbersYardHorizontalLine PlotView All Math TermsRecommended Interactive LessonsOrder a set of 4-digit numbers in a place value chart3Math3.NBT.AUse the Number Line to Round Numbers to the Nearest Ten3Math3.NBT.A.1Understand the Commutative Property of Multiplication3Math3.OA.B.5Divide by 13Math3.OA.C.7Multiply by 43Math3.OA.C.7Find and Represent Fractions on a Number Line beyond 13Math3.NF.A.2a， 3.NF.A.View All Interactive LessonsRecommended VideosCount And Write Numbers 0 to 5KMathK.CC.A.1, K.CC.A.3 K.CC.B.4aCombine and Take Apart 3D Shapes1Math1.G.A.2Count on to Add Within 201Math1.OA.C.5, 1.OA.C.6Classify Quadrilaterals Using Shared Attributes3Math3.G.A.1Find Angle Measures by Adding and Subtracting4Math4.MD.C.7Percents And Decimals6Math6.RP.A.3View All VideosRecommended WorksheetsCompare CapacityKMathK.MD.A.1, K.MD.A.2Use Models to Subtract Within 1002Math2.NBT.B.5Multiply by The Multiples of 103Math3.NBT.A.3Word problems: time intervals within the hour3Math3.MD.A.1Line Symmetry4Math4.G.A.3Word problems: addition and subtraction of decimals5Math5.NBT.B.7View All WorksheetsRecommended Coloring PagesComet with a smiling face and simple starry backgroundPre-K – KAll SubjectsBroccoli head with a bow tiePre-K – KAll SubjectsKomodo Dragon lying down with tail curledPre-K – KAll SubjectsTwo lobsters side by side, waving their clawsPre-K – KAll SubjectsBus with smiling cartoon face and eyes on the windshieldPre-K – KAll SubjectsTrifle dessert with fruits surrounding the bowl3 – 4All SubjectsView All Coloring PagesRecommended BlogsEducational Science: Inspiring 5-8 Year Olds to Explore the WorldNovember 16, 2025Fantasy Adventures for 8-12 Year Olds: Unveiling Magic and LegendsNovember 16, 2025Adventures in Literature: Chapter Books for Ages 5-9November 15, 2025Little Explorers: Science Studies for 1-5 Year OldsNovember 15, 2025Fascinating History for 8-12 Year Olds: Big Ideas That Changed the WorldNovember 14, 2025Fantasy and Exploration: Little Owl Series for Ages 1-3November 14, 2025View All Blog PostsQUICK LINKSAbout UsPrivacy PolicyTerms of ServiceTOOLSHomework HelperGuide DesignerPodcast MakerPlan BuilderRESOURCESMath GlossaryEnglish GlossaryEnglish Language ArtsMathematicsScienceBook InsightsFun with WordsBlog© 2025 EDU.COM. All rights reserved.

智能索引记录