To solve this problem, we use the formula for the arc length of a circle:

$s = r \theta$

Where:

• $s$ is the arc length,
• $r$ is the radius,
• $\theta$ is the angle in radians.

Given:

• $s = 26.2$,
• $r = 7.3$,
• Solve for $\theta$.

Rearranging the formula to solve for $\theta$:

$\theta = \frac{s}{r}$

Substitute the given values:

$\theta = \frac{26.2}{7.3} \approx 3.6 \, \text{radians}.$

Final Answer:

The angle is approximately 3.6 radians to the nearest tenth.

Would you like further clarification or a breakdown of the steps? Here are some related questions for deeper understanding:

1. What is the relationship between arc length, radius, and angle in degrees?
2. How can this problem be adapted to angles in degrees rather than radians?
3. How does this concept apply in practical scenarios like navigation or engineering?
4. What happens to the angle if the arc length is doubled but the radius remains constant?
5. How would the answer change if the radius were given in a different unit, such as centimeters?

Tip: Always ensure that your angle measurements match the unit of arc length and radius when working with circles!