Question

convert 5/6 radians into degree measure with full solution

Answer 1

π radian = 180 degree
1 radian = 180/π degree
so 5/6 radian = 180/π *5/6
on solving we get 150/π degree

Answer 2

Answer:

$\frac{5}{6}$ radians = 47.73 degrees

Step-by-step explanation:

Given 5/6 radians

Required to convert  $\frac{5}{6}$ radians into degree measure

Recall the concept

π radian = 180degree

Solution,

We know that

π radian = 180 degree

1 radian = $\frac{180}{\pi }$ degrees

= $\frac{180}{\frac{22}{7} }$degrees

= $\frac{180 X 7}{22}$ degrees

= 57.2727.. degrees

1 radian = 57.2727.. degrees

∴ $\frac{5}{6}$ radians = 57.2727..×$\frac{5}{6}$ degrees

= 47.7272..degrees

= 47.73 degrees

∴ $\frac{5}{6}$ radians = 47.73 degrees

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