Problem 658

Convert the angle in radians to degrees. Express  your answer in decimal form.




Consider a circle of radius r. A center angle of 1 revolution (360 degree ) will subtend an arc equal to the circumference of the circle. Because the circumference of the circle equals  2\pi r, we see that 360 degree= 2\pi .

Converting from degree to radian can be summarized as follows.

1 degree = \frac{\pi }{180} radian

Therefore, the following is true.

5.63 radians = 5.63 * radian

= 5.63*\frac{180}{\pi}

\approx 322.58  ^{\circ}


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