Question

find the central angle $\theta$ (in radians) shown in the following figure. $\theta = square$ rad resources read it master it

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: Identify values of $s$ and $r$

From the figure, the arc - length $s = 14$ and the radius $r = 7$.

Step3: Solve for $\theta$

Substitute $s = 14$ and $r = 7$ into the formula $s = r\theta$. We get $14=7\theta$. Then $\theta=\frac{14}{7}$.

Answer:

$2$