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Which expression converts 8 radians to degrees?

2 Answers

4 votes


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

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

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

User Shoother
by
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4 votes

Answer

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

User Nox
by
8.2k points

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