Radian measure - Conversion
Last updated at April 16, 2024 by Teachoo
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