How to Calculate the Circumference of a Circle with Radius or Diameter
FAQs on Circumference of a Circle: Class 6 Maths Practice Worksheet
1. What is the circumference of a circle for Class 6?
The circumference of a circle is the total distance or length around its outer edge. For Class 6 students, it is simply the perimeter of the circle, and it is calculated using a specific formula involving the circle's radius or diameter.
2. How do you find the circumference of a circle?
You can find the circumference of a circle using two main formulas, depending on the information given. The calculation requires using the value of Pi (π), which is approximately 22/7 or 3.14.
- When radius (r) is known: Use the formula C = 2πr (Circumference = 2 × π × radius).
- When diameter (d) is known: Use the formula C = πd (Circumference = π × diameter).
3. What is the difference between circumference and area of a circle?
The circumference and area of a circle measure two different properties of the shape. Circumference is the length of the one-dimensional boundary around the circle (its perimeter), measured in units like cm or m. In contrast, the area is the two-dimensional space enclosed within that boundary, measured in square units like cm² or m².
4. How do I calculate the circumference if the radius is 7 cm?
To calculate the circumference with a given radius of 7 cm, you should use the formula C = 2πr. This example is common in Class 6 Maths because the numbers work out cleanly.
- Step 1: Write down the formula: C = 2 × π × r.
- Step 2: Substitute the values: C = 2 × (22/7) × 7 cm.
- Step 3: Calculate the result: The '7' in the numerator and denominator cancels out, so C = 2 × 22 = 44 cm.
5. Are these Class 6 circumference worksheets printable?
Yes, absolutely. These Class 6 Maths worksheets on the circumference of a circle are designed as free, printable PDF files. They are formatted to be print-friendly, making them ideal for students to use for homework, exam revision, or classroom practice.
6. Do these circumference of a circle worksheets for Class 6 include answers?
Yes, every circumference of a circle worksheet comes with a detailed answer key. The provided solutions allow students to self-check their work, understand the step-by-step calculation process, and identify any mistakes, which is crucial for effective learning and revision.
7. What topics are covered in this worksheet?
This maths worksheet for Class 6 is designed to reinforce all key concepts related to calculating the circumference. The main topics covered are:
- Calculating circumference using the radius.
- Finding the circumference using the diameter.
- Solving real-life circumference word problems (e.g., finding the distance around a circular park).
- Understanding the relationship between radius and diameter (d = 2r).
8. What is the value of Pi (π) used in Class 6 circumference calculations?
In Class 6 Maths, the value of Pi (π) is an approximation used in the formula for circumference. The two commonly used values are:
- 22/7: This fraction is most useful when the radius or diameter is a multiple of 7.
- 3.14: This decimal is used for calculations involving other numbers.
9. How does this worksheet help in understanding word problems?
This worksheet includes a dedicated section for circumference word problems, which helps students apply the formula to real-world situations. By working through scenarios like fencing a circular garden or measuring a race track, students learn to identify the given information (radius or diameter) and solve practical challenges, strengthening their problem-solving skills.
10. What skills does this circumference worksheet help develop?
This practice worksheet helps Class 6 students develop several essential mathematical skills beyond basic calculation. Key skills include:
- Formula Application: Correctly choosing and using the formulas C = 2πr and C = πd.
- Analytical Skills: Reading and interpreting word problems to extract necessary data.
- Numerical Fluency: Practising multiplication with fractions (22/7) and decimals (3.14).
- Geometric Vocabulary: Reinforcing the definitions of radius, diameter, and circumference.



















