Express the following angles in radians: (a) 16.8°, (b) 53.7°, (c) 94.2°. convert the following angles to degrees: (d) 0.258 rad, (e) 1.01 rad, (f) 7.51 rad.

Explanation:

(a) We need to convert following angles in radians. The conversion formula from degrees to radian is given by :

1. If angle is 16.8°

16.8 degrees = 0.29 radians

2. If angle is 53.7°

53.7 degrees = 0.937 radians

3. If angle is 94.2°

53.7 degrees = 1.64 radians

(b) We need to convert following angles to degrees. The conversion formula from radian degrees to is given by :

1. If angle is 0.258 radian

0.258 radian = 14.78 degrees

2.  If angle is 1.01 radian

0.258 radian = 57.86 degrees

3.  If angle is 7.51 radian

0.258 radian = 430.29 degrees

Hence, this is the required solution.

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