Question

for the given central angle, determine the distance traveled along the unit circle from the point (1, 0). -133° a. 1.16 units b. 2.32 units clockwise c. 0.74 units clockwise d. 0.74 units

Explanation:

Step1: Convert degrees to radians

The formula to convert degrees to radians is $\theta_{rad}=\theta_{deg}\times\frac{\pi}{180}$. Given $\theta_{deg}=- 133^{\circ}$, then $\theta_{rad}=-133\times\frac{\pi}{180}\approx - 2.32$ radians.

Step2: Interpret the result

The distance traveled along the unit - circle is given by the absolute value of the angle in radians. The negative sign indicates the direction is clockwise. The distance $s = |-2.32|=2.32$ units clockwise.

Answer:

b. 2.32 units clockwise