On a circle of radius 5 feet, what angle would subtend an arc of length 1 feet?

To find the angle that subtends an arc of a given length on a circle, we can use the formula:

\[
\theta = \frac{s}{r}
\]

where:
- \( s \) is the arc length,
- \( r \) is the radius of the circle,
- \( \theta \) is the central angle in radians.

### Step 1: Substitute the given values into the formula.

Given:
- \( s = 1 \) foot,
- \( r = 5 \) feet,

We can substitute these values into the formula:

\[
\theta = \frac{1}{5} \text{ radians}
\]

### Step 2: Compute the result.

\[
\theta = 0.2 \text{ radians}
\]

### Final Answer:

The angle that would subtend an arc of length 1 foot on a circle of radius 5 feet is **0.2 radians**.

Would you like more details on this, or do you have any other questions?

Here are five related questions that might be of interest:
1. How would the angle change if the arc length was 2 feet instead of 1 foot?
2. How do you convert an angle in radians to degrees?
3. What would be the length of the arc if the angle were \( \pi/2 \) radians?
4. How would you calculate the area of a sector with an angle of 0.2 radians on the same circle?
5. What is the relationship between the radius of a circle and the length of an arc for a given angle?

**Tip:** When given an angle in radians, you can always find the arc length using the formula \( s = r \theta \). Conversely, you can find the angle if you know the arc length and radius!

Discover how to calculate the angle that subtends an arc of length 1 foot on a circle with radius 5 feet using the arc length formula. This problem explores circle geometry concepts and is suitable for students in Grades 7-9.

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