Question

5 Convert (ii) 6 radians to degrees.
​

Answer 1

Answer:

1 radian = pi/180 degree

6 radian= 6× pi / 180

= pi/30

= 22/7×30

= 22/ 210

= 11/105 degree

We can also write it as pi/30 degree

Answer 2

Solution : -

6 radians to degrees = ?

Formula to convert radian into degree :-

$\bf \: radian \: measure = \frac{\pi}{180} \times degree$

$6 = \frac{\pi}{180} \times degree$

$degree = \frac{180 \times 6}{\pi}$

$\therefore \: degree = \frac{180 \times 6 \times 7}{22}$

Solving this we get the value of an degree as

$degree \: = \frac{3780}{11}$

Since It's not completely divisible We can have it as degree with minutes.

$degree = 343 \degree \: + \frac{7 \degree}{11}$

Actually what's radian and degree ? Why is it necessary to convert radians to degree ? Let's see !

The angle between two radii ( plural form of radius ) which cuts on the circumference of the circle is referred as Radian.

Measuring the angle in the circle are referred as Degree. We usually measure the angles by degree.

For our better understanding , we always measure angles only in degrees.