Question

find the measure of $\theta$, in radians.
draw
26
$\theta$
70
show your work here

Explanation:

Step1: Recall arc length formula

The formula relating arc length $s$, radius $r$, and central angle $\theta$ (in radians) is $s = r\theta$.

Step2: Rearrange to solve for $\theta$

Isolate $\theta$ by dividing both sides by $r$:
$\theta = \frac{s}{r}$

Step3: Substitute given values

Substitute $s=70$ and $r=26$ into the formula:
$\theta = \frac{70}{26}$

Step4: Simplify the fraction

Reduce the fraction or calculate the decimal:
$\theta = \frac{35}{13} \approx 2.69$

Answer:

$\frac{35}{13}$ or approximately $2.69$ radians