Understanding Pi
This worksheet explores the concept of Pi, its definition, calculation, and application in geometry for Grade 10 students.
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Understanding Pi
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Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.
1. What does Pi (π) represent in relation to a circle?
The ratio of its radius to its diameter
The ratio of its circumference to its diameter
The product of its diameter and radius
The sum of its circumference and area
2. Which of the following statements about Pi is true?
It is a rational number.
Its decimal representation terminates.
It is an irrational number.
It is exactly equal to 22/7.
1. The formula for the circumference of a circle is C = πd, where d represents the .
2. The formula for the area of a circle is A = πr², where r represents the .
3. The approximate value of Pi is .
1. Consider a circle with a diameter of 10 cm. Calculate its circumference, leaving your answer in terms of π.
2. A circular garden has a radius of 7 meters. Calculate the area of the garden using π ≈ 3.14. Round your answer to two decimal places.
1. Pi is a constant value for all circles, regardless of their size.
True
False