Question

Which expression converts 8 radians to degrees?

Answer 1

`1rad= (180^\circ)/(\pi)`

`1^\circ = (\pi)/(180^\circ)`

`8 rad= 8* (180^\circ)/(\pi)\approx 458^\circ`

Answer 2

Find out which expression converts 8 radians to degrees .

To proof

The relationship between the radians to degrees is given by

`1\ radian = ((180)/(\pi) )^(\circ)`

Where

`\pi = 3.14`

Now convert 8 radians to degrees .

`8\ radian = (8)* ((180)/(\pi))^(\circ)`

solving the above

`8\ radian = ((1440)/(\pi))^(\circ)`

As

`\pi = 3.14`

`8\ radian = ((1440)/(3.14))^(\circ)`

8\ radian ≈ (458.6)°

Hence proved