Question

7. Convert the following radian measures into the degree measures:
1) 5
ii)11/16
use π=22/7​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Concept :- use the reaction here , D/180° = C/π

Where D = angle in degree

C = angle in radian.

(i)C = 11/16

D= ?

D/180° = (11/16)/π

D = 180×11/16π°

= (180×11×7/16×22)°

= (315/7)°

= 39° + (3/8)°

= 39° + {(3/8)×60}' [ 1°=60']

= 39°+ (45/2)'

=39° + 22' + (1/2)'

= 39°22' + (60/2)" [ 1' = 60"]

= 39°22'30"

(ii) C = -4

D = ?

D = -(4×180/π)°

= -(720×7/22)°

= -(2520/11)°

= -(229°+ 1/11×60')

=-{229° + 5' + (5/11)×60"}

=-229°5'27" ( approximately)

(iii) C = 5π/3

D = ?

D = (5π/3)×180°/π

= 300°

(iv) C = 7π/6

D = ?

D = (7π/6)×180°/π

= 180×7/6°

= 210°

4.3

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