A wedge shaped piece is cut from a circular pizza. The radius of the pizza is 14 inches and the angle of the pointed end of the pizza measures 0.35 radians. The number of inches in the length of the rounded edge of the crust is closest to which values?

Options

A. `4.0`
B. `4.9`
C. `5.7`
D. `7.5`

Answer

To find the length of the rounded edge of the crust of the pizza, we can use the formula for the length of an arc, which is given by:

\[ s = r \theta \]

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

### Step-by-Step Solution:

1. **Identify the given values**:
- Radius \( r = 14 \) inches
- Angle \( \theta = 0.35 \) radians

2. **Substitute the values into the arc length formula**:
\[ s = r \theta = 14 \times 0.35 \]

3. **Calculate the product**:
- First, multiply \( 14 \) by \( 0.35 \):
\[ 14 \times 0.35 = 4.9 \]

4. **Conclusion**:
- The length of the rounded edge of the crust is approximately \( 4.9 \) inches.

### Final Answer:
The number of inches in the length of the rounded edge of the crust is closest to **4.9 inches**.