Find the degree measures corresponding to the following radian measures (Use π = 22/7).
(i) 11/16 (ii) -4 (iii) 5π/3 (iv) 7π/6

Solution:

Given use π = 22/ 7.

As we know that 1 radian = 180° / π.

(i) 11/16

1 radian = 180° / π.

⇒ 11 / 16 radian = 180° / π × 11 / 16

Use π = 22/7, 

11/ 16 radian = 39° 22' 30"

(ii) -4

1 radian = 180° / π.

⇒ - 4 radian = 180° / π × (- 4)

Use π = 22/7, and solve.

- 4 radian = - 229° 5' 27"

(iii) 5π / 3

1 radian = 180° / π.

⇒ 5π / 3 radian = 180° / π × 5π / 3

By solving this, we get

⇒ 5π / 3 radian = 300°

(iv) 7π / 6

1 radian = 180° / π.

⇒ 7π / 6 radian = 180° / π × 7π / 6

By solving this, we get

⇒ 7π / 6 radian = 210°

A radian measure can be converted using 1 radian = 180° / π

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NCERT Solutions Class 11 Maths Chapter 3 Exercise 3.1 Question 2

Find the degree measures corresponding to the following radian measures (Use π = 22/7)(i) 11/16 (ii) -4 (iii) 5π/3 (iv) 7π/6

Summary:

Therefore, the degree measures corresponding to the given radian measures are (i) 39° 22' 30", (ii) -229° 5' 27", (iii) 300°, and (iv) 210°