Here are the answers to the questions based on the image provided:

Answers:

41. The center of the circle is N.
42. Line g is a secant line (a line that intersects the circle at two points).
43. Line r is a tangent line (a line that touches the circle at exactly one point).
44. The diameter of the circle is WY (a line passing through the center N and touching two points on the circle).
45. If WN = 4 cm, then the measure of NV will also be 4 cm (since both are radii of the circle).
46. There are 6 radii in the figure: WN, NV, NY, NX, NU, and NT.
47. Arc YVS is a minor arc (less than half of the circle).
48. Arc WXY is a major arc (greater than half of the circle).

Related Questions:

1. What is the definition of a secant line and how does it differ from a chord?
2. How can you calculate the length of a tangent segment to a circle?
3. What are the different types of arcs in a circle?
4. If the diameter of the circle is 8 cm, what is the radius?
5. How do you identify the major and minor arcs of a circle?

Tip:

A tangent line to a circle always forms a right angle with the radius drawn to the point of tangency.