Conversion From Degrees To Radians

The Degrees are the unit that allows us to give a measure to Angles. They tell us how open an angle is, and they are the fundamental tool for trigonometry.

In a circumference, which is the total opening, they fit 360 °. In the straight angle or semicircle there is 180 °, and in the Right angle there is a measure of 90 °.

In addition to the Degrees there is a unit of measure of the angles, which are the Radians. A Radian is defined as the length of an arc that measures a Radius.

A Bow It is a segment of circumference, delimited by the sides of an angle, and therefore with a length determined by it. The Radian is an Arc that measures a Radius.

In a Circumference, also called Circle Perimeter, the Diameter fits π times, that is, 3.1416 times.

ANDl Radio fits 2 times in Diameter, then it will fit 2 * π times in the Circumference. This equates to 6.2832 Radii in Circumference.

360 ° degrees are in a circumference

6.2832 or 2π Radians are in a Circumference

360 ° = 6.2832 Rad

(360 ° / 6.2832) = 1 Rad

57.3 ° = 1 Rad

From these equivalences it is possible to convert from Degrees to Radians with total mastery of both units.

Examples of Conversion of Degrees to Radians

1.- There is an angle of 10 °. How many Radians does it equal?

57.3 ° = 1 Rad

10 ° = X

X = (10 °) * (1 Rad) / (57.3 °)

X = 0.1745 Rad

2.- There is an angle of 15 °. How many Radians does it equal?

57.3 ° = 1 Rad

15 ° = X

X = (15 °) * (1 Rad) / (57.3 °)

X = 0.2618 Rad

3.- There is an angle of 22 °. How many Radians does it equal?

57.3 ° = 1 Rad

22 ° = X

X = (22 °) * (1 Rad) / (57.3 °)

X = 0.3839 Rad

4.- There is an angle of 26 °. How many Radians does it equal?

57.3 ° = 1 Rad

26 ° = X

X = (26 °) * (1 Rad) / (57.3 °)

X = 0.4537 Rad

5.- There is an angle of 33 °. How many Radians does it equal?

57.3 ° = 1 Rad

33 ° = X

X = (33 °) * (1 Rad) / (57.3 °)

X = 0.5759 Rad

6.- There is an angle of 37 °. How many Radians does it equal?

57.3 ° = 1 Rad

37 ° = X

X = (37 °) * (1 Rad) / (57.3 °)

X = 0.6457 Rad

7.- There is an angle of 42 °. How many Radians does it equal?

57.3 ° = 1 Rad

42 ° = X

X = (42 °) * (1 Rad) / (57.3 °)

X = 0.7329 Rad

8.- There is an angle of 56 °. How many Radians does it equal?

57.3 ° = 1 Rad

56 ° = X

X = (56 °) * (1 Rad) / (57.3 °)

X = 0.9773 Rad

9.- There is an angle of 68 °. How many Radians does it equal?

57.3 ° = 1 Rad

68 ° = X

X = (68 °) * (1 Rad) / (57.3 °)

X = 1.1867 Rad

10.- There is an angle of 90 °. How many Radians does it equal?

57.3 ° = 1 Rad

90 ° = X

X = (90 °) * (1 Rad) / (57.3 °)

X = 1.5707 Rad

11.- There is an angle of 95 °. How many Radians does it equal?

57.3 ° = 1 Rad

95 ° = X

X = (95 °) * (1 Rad) / (57.3 °)

X = 1.6579 Rad

12.- There is an angle of 100 °. How many Radians does it equal?

57.3 ° = 1 Rad

100 ° = X

X = (100 °) * (1 Rad) / (57.3 °)

X = 1.7452 Rad

13.- There is an angle of 105 °. How many Radians does it equal?

57.3 ° = 1 Rad

105 ° = X

X = (105 °) * (1 Rad) / (57.3 °)

X = 1.8325 Rad

14.- There is an angle of 118 °. How many Radians does it equal?

57.3 ° = 1 Rad

118 ° = X

X = (118 °) * (1 Rad) / (57.3 °)

X = 2.0593 Rad

15.- There is an angle of 125 °. How many Radians does it equal?

57.3 ° = 1 Rad

125 ° = X

X = (125 °) * (1 Rad) / (57.3 °)

X = 2.1815 Rad

16. There is an angle of 140 °. How many Radians does it equal?

57.3 ° = 1 Rad

140 ° = X

X = (140 °) * (1 Rad) / (57.3 °)

X = 2.4433 Rad

17.- There is an angle of 150 °. How many Radians does it equal?

57.3 ° = 1 Rad

150 ° = X

X = (150 °) * (1 Rad) / (57.3 °)

X = 2.6178 Rad

18. There is an angle of 160 °. How many Radians does it equal?

57.3 ° = 1 Rad

160 ° = X

X = (160 °) * (1 Rad) / (57.3 °)

X = 2.7923 Rad

19.- There is an angle of 220 °. How many Radians does it equal?

57.3 ° = 1 Rad

220 ° = X

X = (220 °) * (1 Rad) / (57.3 °)

X = 3.8394 Rad

20. There is an angle of 270 °. How many Radians does it equal?

57.3 ° = 1 Rad

270 ° = X

X = (270 °) * (1 Rad) / (57.3 °)

X = 4.7120 Rad