use the information in the diagram to determine the radian measure of the angle $varphi$.
use the information in the diagram to determine the radian measure of the angle $varphi$.
Answer
Explanation:
Step1: Observe the angle position
The angle $\varphi$ is a full - circle plus a quarter - circle in the clockwise direction. A full - circle in radians is $2\pi$ and a quarter - circle is $\frac{\pi}{2}$. Since it is clockwise, the angle is negative.
Step2: Calculate the radian measure
$\varphi=- (2\pi+\frac{\pi}{2})=-\frac{4\pi + \pi}{2}=-\frac{5\pi}{2}$
Answer:
$-\frac{5\pi}{2}$