Convert each radian measure to degree measure. Do not use a calculator. (a) 4π 3 ° (b) − 5π 6

Question

Convert each radian measure to degree measure. Do not use a calculator.

(a)    4π

3

 °

(b)    − 5π

6

Answer 1

(4*pi rad) * [(180 deg)/(pi rad)] = 4 * 180 deg = 720 deg.

(3 rad) * [(180 deg)/(pi rad)] = 3 * (180/pi) deg = 540/pi deg

(-5*pi rad) * [(180 deg)/(pi rad)] = -5 * 180 deg = -900 deg.

(6 rad) * [(180 deg)/(pi rad)] = 6 * (180/pi) deg = 1080/pi deg