Respuesta :
-280 degrees.
To convert from degrees to radians, multiply the angle by π/180
-280° * π/180° = -280π/180
Simplify -280π/180
280 ÷ 2 = 140
180 ÷ 2 = 90
140 ÷ 2 = 70
90 ÷ 2 = 45
70 ÷ 5 = 14
45 ÷ 5 = 9
- 280π/180 ⇒ - 140π/90 ⇒ -70π/45 ⇒ -14π/9
To convert from degrees to radians, multiply the angle by π/180
-280° * π/180° = -280π/180
Simplify -280π/180
280 ÷ 2 = 140
180 ÷ 2 = 90
140 ÷ 2 = 70
90 ÷ 2 = 45
70 ÷ 5 = 14
45 ÷ 5 = 9
- 280π/180 ⇒ - 140π/90 ⇒ -70π/45 ⇒ -14π/9
The value of the radian measure of the given angle ( -280 degrees ) in a simple fraction form is -14π/9.
What is radian?
The radian is simply the standard unit of angular measurements in many areas of maths. It represented by the symbol rad.
Radian is expressed as;
Rad = degree × π/180
Given that the value of the angle θ = -280 degrees, to convert to radian, we say;
Rad = degree × π/180
Rad = -280 × π/180
Rad = ( -280/180)π
Rad = ( -28/18)π
Rad = ( -14/9)π
Rad = -14π/9
Therefore, the value of the radian measure of the given angle ( -280 degrees ) in a simple fraction form is -14π/9.
Learn more about radian and degrees here: https://brainly.com/question/7721249
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