What is the degree of curvature calculated from a series of 62-foot chord readings averaging 213.57?

To find the degree of curvature from a series of chord readings, you begin by understanding how the curvature is defined based on the length of the chord and the average measurements provided. In this case, the average value from the 62-foot chord readings is given as 213.57 feet.

The degree of curvature is typically defined as the angle subtended at the center of a circular curve by a chord of 100 feet in length. To calculate the degree of curvature, we can use the formula:

[ \text{Degree of curvature} = \frac{360 \times \text{arc length}}{2\pi \times \text{radius}} ]

In practical terms, for degree calculations based on chords, when the average chord length is provided, you can refer to a standard relationship where a chord length of 62 feet approximates certain degree values. The average chord length of 213.57 suggests a moderate curve.

Aligning with typical values in circular geometry, the average values suggest that for lengths of this size—when averaged out—the calculation leads to a degree value of approximately 2 degrees for the given chord readings. Thus, determining the curvature based on this calculation arrives at the conclusion of 2 degrees being the correct