GU7.Quiz Review - Circles Question 4 of \( \mathbf{2 4} \) (1) point) | Question Attempt 1 of Unlimited (a) Use the measurements above and the calculator to fill in the blanks. Write each answer as a single decimal. Do not round, Circle 1: Circumference Diameter Circle 2: Circumference Diameter Circle 3: Circumference Diameter (b) Let \( C \) represent the circumference of any circle and \( d \) represent the diameter. Using the fact that \( \pi \) is approximately 3.14 , which formula seems reasonable? \( \frac{\pi}{C}=d \) \( \frac{d}{C}=\pi \) \( \frac{d}{\pi}=C \) \( \frac{C}{d}=\pi \) (c) Write a formula that relates the circumference, \( C \), of a circle to its diameter, \( d \). \[ c= \] \( \square \)

Did you know that the relationship between a circle's circumference and its diameter was established by the ancient Greeks? Archimedes was one of the first to approximate the value of pi (\( \pi \)), which has fascinated mathematicians for centuries! He utilized polygons to derive a value for \( \pi \) that was remarkably close to what we use today. This mathematical exploration laid the groundwork for many principles in geometry. In real-world applications, the concept of circles and the relationships between their dimensions are everywhere! From designing everything round, like pizza or wheels, to architecture and engineering, knowing the circumference and diameter helps in precise planning and construction. So next time you enjoy a slice of pizza, remember that there’s a lot of math behind that perfect pie!