Final answer:
The ratio of the circumference to diameter in a circle is the constant π (pi). With a circumference of 66 and a radius of 10.5, the ratio is 66/21, which approximates π, about 3.14159.
Step-by-step explanation:
The ratio of the circumference to the diameter in any circle is a constant value known as π (pi). Since the circumference is given as 66 and the radius (half of the diameter) is given as 10.5, we can calculate the diameter as follows:
- Diameter (D) = 2 × Radius (r) = 2 × 10.5 = 21
Now, the ratio of the circumference (C) to the diameter (D) is:
This ratio is an approximation of π, which is approximately 3.14159. Therefore, the ratio of circumference to diameter in this case is very close to the mathematical constant π.