Find the radian measures of the angles making up 45 °, 90 °, 120 °, 180 °, 270 °.

1. We know that the unit trigonometric circle is 360 °, which corresponds to

value 2 * п.

So 1 ° = 2 * п: 360 = п / 180.

Therefore, to convert the degree measure of the angle to the radian, you need to multiply the number of degrees by п / 180. With a value of п = 3.14, you can multiply by 0.0174.

2. We will alternately convert the angles given in the problem statement into radians.

45 ° = 45 * п / 180 radians = п / 4 radians = 45 * 0.0174 = 0.783 radians;

90 ° = 90 * п / 180 radians = п / 2 radians = 90 * 0.0174 = 1.566 radians;

120 ° = 120 * п / 180 radians = 2п / 3 radians = 120 * 0.0174 = 2,088 radians;

180 ° = 180 * п / 180 radians = п radians = 180 * 0.0174 = 3.14 radians;

270 ° = 270 * п / 180 radians = 3п / 2 radians = 270 * 0.0174 = 4.7 radians.