The ratio π is the ratio of the circumference of a circle to its diameter. It is a constant value, approximately equal to 3.14. To predict the circumference of a circular object, measure the diameter and multiply it by π.
a. The table shows the circumference and diameter for different circles. Complete the table by estimating the ratio for each circle (Attached Below).
b. The ratio is represented by the Greek letter π, which is called pi. Describe the ratio π for the values you calculated.
The ratio π is the ratio of the circumference of a circle to its diameter. It is a constant value, approximately equal to 3.14. For all circles, the ratio of the circumference to the diameter is the same.
c. Make a Prediction Find two circular objects. Measure the diameter and then make a prediction about the circumference of each circle. How could you check your predictions?
To predict the circumference of a circular object, measure the diameter and multiply it by π. For example, if the diameter of a circular object is 10 cm, its predicted circumference would be 31.4 cm.
To check your prediction, you can measure the circumference of the object directly. This can be done using a string or measuring tape. Wrap the string or measuring tape around the object and mark the point where it meets itself. The length of the string or measuring tape is the circumference of the object.
d. Use the Internet or another media source to research pi. Write a few sentences about what you learned.
Pi is a mathematical constant whose value is the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14159. Pi is an irrational number, meaning that it cannot be expressed as a fraction of two integers.
Pi has been calculated to trillions of digits, and it is used in many different areas of mathematics, science, and engineering. For example, pi is used to calculate the area and volume of circles and spheres. It is also used to calculate the orbits of planets and other celestial objects.
Here is an example of how to use pi to calculate the circumference of a circle:
Formula: C = πd, where C is the circumference and d is the diameter
Example: If the diameter of a circle is 10 cm, its circumference is calculated as follows:
C = πd = 3.14 * 10 cm = 31.4 cm
Therefore, the circumference of the circle is 31.4 cm.
The probable table of the question is attached below.