Objective:
Understanding the number Pi.
Introduction:
Pi is just a number and is a little more than 3. It tell how many times does the diameter of a circle go into the circumference.
Study this picture. Imagine it to be a circular pond where the distance across is one mile. The the distance around the pond will be a little more than three miles. A more accurate answer will be 3.14 miles which is about 22/7.
But the most accurate answer is simply Pi. No one really knows what the exact value of Pi is because there is no pattern to the digits. Pi = 3.14159265358979323846..... For thousands of years folks tried to compute the value of Pi and achieve more and more accuracy and yet there is no finite formula that can describe.
Exercises:
1. A round lake is two miles across. About how many miles it is around the lake?
2. A round lake is about 24 miles in circumference (around). About how many miles it is across the lake
3. A round lake is about 20 miles around. Exactly how many miles it is across the lake?
4. A round traffic circle is 20 feet across. About how many feet is it around it?
5. You wrapped a string around a log of wood to measure the circumference and found that it is 2.5 feet. How wide should be the opening of a wood stove so that the wood could enter into it?
6. The Diameter of a Pond is about 2.4 miles. How long is the circumference? (Have two answer close check if they can multiply)
7. The Height of big model of the letter D (The straight part) is 2 feet. Estimate the total circumference around.
8. The following design is made from half circle wires where the smallest diameter is 10''. The second 20'' the third 30''. What is the total length of the wire
Answers:
Exercises:
Spiritual Component:
The number Pi reminds us of our essential nature. We may be in prison both physically or mentally but thinking about Pi can give us hope. The number Pi is called transcendental since there is no formula that can express it. In this sense it reminds us of God. It is the simplest yet the most complex. It also reminds us of a circle. What comes around goes around and helps us be humble and accept anything that happens to us as a gift from God.
