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Example 2 Convert 6 radians into degree measure. We know that Radian measure = 𝝅/𝟏𝟖𝟎 × Degree measure 6 = 𝜋/180 × Degree measure (6 ×180)/𝜋 = Degree measure (6 ×180 ×7)/22 = Degree measure (540 × 7)/11 = Degree measure Degree measure = (540 × 7)/11 Degree measure = 𝟑𝟕𝟖𝟎/𝟏𝟏 Degree measure = 343o + 𝟕𝒐/𝟏𝟏 = 343o + (𝟕/𝟏𝟏 × 60’) = 343o + (420/11)’ = 343o + 38 𝟐/𝟏𝟏 ‘ = 343o + 38‘ + 𝟐/𝟏𝟏 ‘ = 343o + 38‘ + (𝟐/𝟏𝟏 × 60 ) ‘’ = 343o + 38‘ + (𝟏𝟐𝟎/𝟏𝟏) ‘’ = 343o + 38‘ + 10.9’’ = 343o 38’ 11’’ nearly

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.