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Grade 6 Geometry worksheet for calculating the circumference of circles with given diameters.

Worksheet titled "Circumference of a circle" for Grade 6 Geometry, featuring six circles with given diameters in inches, feet, and yards, requiring calculation of circumference.

Worksheet titled "Circumference of a circle" for Grade 6 Geometry, featuring six circles with given diameters in inches, feet, and yards, requiring calculation of circumference.

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Show Answer Key & Explanations Step-by-step solution for: Circumference of a circle worksheets| Worsheets library
Let's solve the problem step by step.

We are asked to calculate the circumference of each circle. The formula for the circumference (C) of a circle is:

$$
C = \pi \times d
$$

or

$$
C = 2\pi \times r
$$

Where:
- $ d $ is the diameter
- $ r $ is the radius
- $ \pi \approx 3.14 $

In this worksheet, all given values are diameters, so we'll use:

$$
C = \pi \times d
$$

We’ll use $ \pi \approx 3.14 $ for calculations.

---

1) Diameter = 0.4 in



$$
C = \pi \times 0.4 = 3.14 \times 0.4 = 1.256 \text{ in}
$$

Answer: 1.256 in

---

2) Diameter = 0.9 ft



$$
C = \pi \times 0.9 = 3.14 \times 0.9 = 2.826 \text{ ft}
$$

Answer: 2.826 ft

---

3) Diameter = 0.8 in



$$
C = \pi \times 0.8 = 3.14 \times 0.8 = 2.512 \text{ in}
$$

Answer: 2.512 in

---

4) Diameter = 0.5 yd



$$
C = \pi \times 0.5 = 3.14 \times 0.5 = 1.57 \text{ yd}
$$

Answer: 1.57 yd

---

5) Diameter = 1.4 ft



$$
C = \pi \times 1.4 = 3.14 \times 1.4 = 4.396 \text{ ft}
$$

Answer: 4.396 ft

---

6) Diameter = 0.1 in



$$
C = \pi \times 0.1 = 3.14 \times 0.1 = 0.314 \text{ in}
$$

Answer: 0.314 in

---

Final Answers:



1) 1.256 in
2) 2.826 ft
3) 2.512 in
4) 1.57 yd
5) 4.396 ft
6) 0.314 in

> 📝 Note: You can round answers to two decimal places if needed:
> - 1.26 in, 2.83 ft, 2.51 in, 1.57 yd, 4.40 ft, 0.31 in

But since the original measurements have one or two decimal places, using three decimals is acceptable for accuracy.

Let me know if you'd like the answers rounded!
Parent Tip: Review the logic above to help your child master the concept of diameter and radius worksheet.
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