Radian measure - Conversion
Last updated at April 16, 2024 by Teachoo
Ex 3.1, 2 Find the degree measures corresponding to the following radian measures ("use " π" = " 22/7) (i) 11/16 We know that Radian measure = 𝝅/𝟏𝟖𝟎 × Degree measure 11/16 = 𝜋/180 × Degree measure 11/16 × 180/𝜋 = Degree measure Degree measure = 𝟏𝟏/𝟏𝟔 × 𝟏𝟖𝟎/𝝅 Degree measure = 11/16 × 180/22 × 7 = (𝟏𝟏 × 𝟏𝟖𝟎 × 𝟕)/(𝟏𝟔 × 𝟐𝟐) = (1 × 90 × 7)/(8 × 2) = (1 × 45 × 7)/(4 × 2) = 𝟑𝟏𝟓/𝟖 = 39° + 〖𝟑/𝟖〗^° = 39° + (3/8 × 60)^′ = 39° + (𝟒𝟓/𝟐)^′ = 39° + ("22" 𝟏/𝟐)^′ = 39° + (22)’ + (𝟏/𝟐)^′ = 39° + (22)’ + (𝟏/𝟐 × 𝟔𝟎)^′′ = 39° + (22)’ + (30)’’ = 39° 22’ 30’’