## Problem 1105

*Convert the angle in degrees to radians.*

*-19*°

**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.

Converting form degrees to radians can be summarized as follows.

1 degree = radian

Now convert the given angle in degrees to radians. Use the formula from above to write 1 degree in radians.

-19° = -19 * 1 degree

= -19 * radian

Simplify. Remember that π 3.1416.

-19° = -19*radian

*-19* radian *

* – 0.33 radian*