Exploring Pi (π)
This worksheet introduces sixth-grade students to the concept of Pi (π), its definition, and how it relates to circles.
Includes
Standards
Topics
Exploring Pi (π)
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Use 3.14 as an approximation for Pi (π) unless otherwise stated.
What is Pi (π)?
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, meaning it cannot be expressed as a simple fraction, and its decimal representation goes on forever without repeating. For most calculations, we use the approximation 3.14 or 22/7.
1. Pi (π) is the ratio of a circle's to its .
2. The approximate value of Pi (π) is .
3. An irrational number like Pi (π) cannot be expressed as a simple .
The diagram below shows a circle. Label the circumference and diameter.
4. If a circle has a diameter of 10 cm, what is its approximate circumference?
10 cm
31.4 cm
5 cm
15.7 cm
5. What is the formula for the circumference of a circle?
C = πr²
C = 2πr
C = d/π
C = πd
6. A circular swimming pool has a radius of 5 meters. What is the approximate circumference of the pool? Show your work.
7. A bicycle wheel has a diameter of 26 inches. How far does the bicycle travel in one full rotation of the wheel? (This is the circumference!) Show your work.
8. Pi (π) is an exact number that can be written as a simple fraction.
True
False
9. The symbol for Pi (π) is a Greek letter.
True
False
Related Worksheets
Angle Identification Worksheet
Identify and classify different types of angles, including acute, obtuse, right, and straight angles.
Introduction to Fractals
Explore the fascinating world of fractals, self-similar geometric shapes, with this engaging Grade 6 math worksheet.
Introduction to Fractals
Explore the fascinating world of fractals, self-similar geometric shapes, with this engaging Grade 6 math worksheet.
Lateral Area Practice
This worksheet provides practice problems on calculating the lateral area of various three-dimensional shapes, suitable for 6th-grade math students.
Area Formulas Worksheet
A Grade 6 math worksheet covering the area formulas for rectangles, triangles, and parallelograms with practice problems.
Slicing 3D Figures Worksheet
Explore how different 3D figures can be sliced to reveal 2D cross-sections.
Intersecting Chords Worksheet
Practice problems for understanding and applying the intersecting chords theorem in circles.
Altitude of a Triangle Worksheet
Explore the concept of altitude in different types of triangles, including right, acute, and obtuse triangles, with this Grade 6 math worksheet.