Question

find the angle $\theta$ in the figure. (assume $r = 2$ and $s = 4$.) $\theta=\text{radians}$

Explanation:

Step1: Recall arc - length formula

The formula for the arc - length $s$ of a circle with radius $r$ and central angle $\theta$ (in radians) is $s = r\theta$.

Step2: Solve for $\theta$

We can re - arrange the formula $s = r\theta$ to get $\theta=\frac{s}{r}$.

Step3: Substitute given values

Given $r = 2$ and $s = 4$, substituting these values into the formula $\theta=\frac{s}{r}$, we have $\theta=\frac{4}{2}$.

Answer:

$2$