Understanding Pi and Its Approximation

Understanding Pi and Its Approximation

Assessment

Interactive Video

Mathematics, Science

5th - 8th Grade

Hard

Created by

Liam Anderson

FREE Resource

The video tutorial explains Pi as the ratio of a circle's circumference to its diameter, highlighting that Pi is an irrational number and cannot be expressed as a fraction of two whole numbers. However, the fraction 22/7 is often used as an approximation. The tutorial demonstrates this by unfolding a circle into a line and showing how the circumference is approximately 3 times the diameter plus a small fraction. This fraction is further explained as 1/7 of the diameter, leading to the approximation of Pi as 22/7.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is pi primarily known as?

A fraction of two whole numbers

The diameter of a circle

The ratio of a circle's circumference to its diameter

A whole number

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which fraction is commonly used to approximate pi?

5/6

7/8

3/4

22/7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When a circle is unfolded into a line, what does the line represent?

The circumference of the circle

The radius of the circle

The diameter of the circle

The area of the circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times is the diameter approximately contained in the circumference?

2 times

3 times

5 times

4 times

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the small fraction added to 3 times the diameter to approximate the circumference?

1/5 of the diameter

1/8 of the diameter

1/7 of the diameter

1/6 of the diameter