# Investigation of Pi

- Author:
- Zachary Duncan

- Topic:
- Geometry

## 1. Given the circle below, record the following measurements/answer the questions given below the image.

## a.

What is the diameter of the circle? Select the distance tool , then click on point A followed by Point B.

b. What is the circumference of the circle? Again, select the distance tool , and then click anywhere along the circumference of the circle.

c. Using your calculator, divide the circumference you found above by your diameter. What do you notice?

## 2. Given the circle below, record the following measurements/answer the questions given below the image.

a. Just like questions 1 above, complete the following -Measure the diameter (Grab the distance tool, , then select point A and then point B. -Measure the circumference (again, grab the distance tool, , then click anywhere along the circumference -Using your own calculator, take the circumference and divide it by the diameter. Record your number below. How does it compare to the value of pi?

## 3. Let us go ahead and investigate radius.

## a. Directions for constructing circle with a radius

b. Does the distance of our radius ever change inside the same circle? Now that you have your radius drawn inside of your circle, measure it's distance. Then, grab the move tool , and then click and drag the outside point on your circumference around the circle. Does your measurement change? What if you draw another radius?