## Problem 1106

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

*5.63*

**Solution:-**

Consider a circle of radius r. A central angle of a revolution (360°) will subtend an arc equal to the circumference of the circle. Because the circumference of the circle equal 2πr, we see that 360° = 2π radians, or 180° = π radians. Dividing both sides by π, we have the following conversion formula.

Converting form radians to degrees can be summarized as follows.

1 radian = degrees

Therefore, the following is true.

5.63 radians = 5.63 * 1 radian

= 5.63 * degrees

322.58°