Question

The table at right shows measurements made on a circle with a one-meter radius. Each entry in the s-column is an arc length,and the adjacent entry in the c-column is the corresponding chord length, both in meters. Explain why c < s, and determine the range of values for c and for s. With s on the horizontal axis and c on the vertical axis, sketch an approximate graph of
c vs. s.
s c
0.256 0.255
0.618 0.608
1.234 1.157
1.571 1.414
1.896 1.625

Then. (Continuation)Express s and c in terms of è, the central angle that intercepts s and c. Combine these equations to express c as a function of s. Graph this relationship.

Answer 1