The angle $\theta$ subtended by an arc of length $s$ on a circle of radius $r$ is given by the formula:

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

where:

• $s = 7$ feet (arc length),
• $r = 7$ feet (radius).

Substituting the values:

$\theta = \frac{7}{7} = 1 \text{ radian}$

Final Answer:

The angle subtended by the arc is 1 radian.

Would you like further clarification or a step-by-step breakdown?

Related Questions:

1. How do you convert radians to degrees?
2. What is the circumference of a circle with a radius of 7 feet?
3. What arc length corresponds to an angle of $\frac{\pi}{2}$ radians in this circle?
4. If the radius of the circle were doubled, what would be the new angle for the same arc length?
5. How is the radian measure related to the unit circle?

Tip:

A full circle is $2\pi$ radians (approximately 6.283 radians), so 1 radian is about 57.3°.