Mr,Marquez,a Mathematics teacher asked his students to measure the diameter and circumference of several round containers or lids and recordtgat data in a table,what do you think they would discover and what is the function rule?
Answer (1)
Answer:Mr. Marquez's activity is a fun and practical way to introduce the concept of pi and its significance in calculating the circumference of circles.Step-by-step explanation:Mr. Marquez's students are likely to discover a very important relationship between the diameter and circumference of a circle: The circumference is always a little more than three times the diameter.Here's why:Circumference: The distance around a circle.Diameter: The distance across a circle through its center.The function rule that describes this relationship is:Circumference = π (pi) * DiameterWhere π (pi) is a mathematical constant approximately equal to 3.14159.What students will discover:Consistent Ratio: As they measure different circles, they'll find that the ratio of the circumference to the diameter is always approximately 3.14159 (pi).Linear Relationship: If they plot their data on a graph (circumference on the y-axis and diameter on the x-axis), they'll see a straight line, indicating a linear relationship.In essence, Mr. Marquez's activity is a fun and practical way to introduce the concept of pi and its significance in calculating the circumference of circles.
