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Question:

Find the degree measures corresponding to the following radian measures (Use π=22/7). (i) 11π/6 (ii) 7π/8 (iii) 5π/3 (iv) 7π/6

Solution:

We know that π radian = 180°
(i) ∴ 11π/6 radian = 180/π × 11π/6 degree = 30 × 11 degree = 330°
(ii) ∴ 7π/8 radian = 180/π × (7π/8) degree = 180 × 7/8 × (7/22) degree = 45 × 7/4 × (7/22) degree = 45 × 7/4 degree = 78.75°
(iii) ∴ 5π/3 radian = 180/π × 5π/3 degree = 60 × 5 degree = 300°
(iv) ∴ 7π/6 radian = 180/π × 7π/6 degree = 30 × 7 degree = 210°