Express the values of the angles in radian measure: a) 120 * degrees B) 150 * degrees
| June 25, 2021 | education
To convert 120 ° into a radian measure, it is necessary to express this number through P. Knowing that 180 ° is P, we find the ratio:
120/180;
After reduction, we obtain the value 2/3 of P. Number P = 3.14. We substitute this value and solve:
120 ° = 2 * 3.14 / 3 = 2.093.
Answer: 120 ° is 2.093 rad.
The ratio 150/180 is taken. By reducing by 30, we get 5/6 of P. Substituting 3.14 instead of P, we get:
150 ° = 5 * 3.14 / 6 = 2.617.
Answer: 150 ° is 2.617 radians.
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