The Radius Of A Circle Is 10.4 Ft. Find The Circumference To The Nearest Tenth.${ C = }$ Ft

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Introduction

In geometry, the circumference of a circle is a fundamental concept that plays a crucial role in various mathematical calculations. The circumference of a circle is the distance around the circle, and it is an essential parameter in determining the size and shape of a circle. In this article, we will explore how to find the circumference of a circle given its radius. We will use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Understanding the Formula for Circumference

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle. This formula is derived from the fact that the circumference of a circle is equal to the distance around the circle, which is equal to the diameter of the circle multiplied by π. The diameter of a circle is twice the radius, so the formula for the circumference can be written as C = πd, where d is the diameter of the circle. Since the diameter is twice the radius, we can substitute 2r for d in the formula, resulting in C = π(2r), which simplifies to C = 2πr.

Finding the Circumference of a Circle with a Given Radius

Now that we have understood the formula for the circumference of a circle, let's apply it to find the circumference of a circle with a given radius. Suppose we are given a circle with a radius of 10.4 ft. To find the circumference of this circle, we can use the formula C = 2πr, where r is the radius of the circle. Plugging in the value of the radius, we get C = 2π(10.4). Using the value of π as approximately 3.14, we can calculate the circumference as follows:

C = 2π(10.4) C ≈ 2(3.14)(10.4) C ≈ 65.36

Rounding the Circumference to the Nearest Tenth

The calculated circumference is approximately 65.36 ft. However, we are asked to find the circumference to the nearest tenth. To do this, we need to round the calculated circumference to the nearest tenth. Rounding 65.36 to the nearest tenth gives us 65.4.

Conclusion

In this article, we have explored how to find the circumference of a circle given its radius. We have used the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. We have applied this formula to find the circumference of a circle with a given radius of 10.4 ft and rounded the calculated circumference to the nearest tenth. The final answer is 65.4 ft.

Frequently Asked Questions

Q: What is the formula for the circumference of a circle?

A: The formula for the circumference of a circle is C = 2Ï€r, where C is the circumference and r is the radius of the circle.

Q: What is the value of π used in the formula for the circumference of a circle?

A: The value of π used in the formula for the circumference of a circle is approximately 3.14.

Q: How do I round the circumference to the nearest tenth?

A: To round the circumference to the nearest tenth, you need to look at the hundredth place and decide whether to round up or down. If the hundredth place is 5 or greater, you round up. If the hundredth place is less than 5, you round down.

Q: What is the circumference of a circle with a radius of 10.4 ft?

A: The circumference of a circle with a radius of 10.4 ft is approximately 65.36 ft, which rounds to 65.4 ft.

References

  • "Circumference of a Circle" by Math Open Reference
  • "Circumference of a Circle" by Khan Academy
  • "Circumference of a Circle" by Wolfram MathWorld

Introduction

In our previous article, we explored how to find the circumference of a circle given its radius. We used the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. In this article, we will answer some frequently asked questions related to finding the circumference of a circle.

Q&A

Q: What is the formula for the circumference of a circle?

A: The formula for the circumference of a circle is C = 2Ï€r, where C is the circumference and r is the radius of the circle.

Q: What is the value of π used in the formula for the circumference of a circle?

A: The value of π used in the formula for the circumference of a circle is approximately 3.14. However, it's worth noting that π is an irrational number, which means it cannot be expressed as a finite decimal or fraction. In most mathematical calculations, π is approximated as 3.14159, but for simplicity, we often use 3.14.

Q: How do I round the circumference to the nearest tenth?

A: To round the circumference to the nearest tenth, you need to look at the hundredth place and decide whether to round up or down. If the hundredth place is 5 or greater, you round up. If the hundredth place is less than 5, you round down.

Q: What is the circumference of a circle with a radius of 10.4 ft?

A: The circumference of a circle with a radius of 10.4 ft is approximately 65.36 ft, which rounds to 65.4 ft.

Q: Can I use a calculator to find the circumference of a circle?

A: Yes, you can use a calculator to find the circumference of a circle. Simply enter the value of the radius and the value of π, and the calculator will give you the circumference.

Q: What is the difference between the circumference and the diameter of a circle?

A: The circumference of a circle is the distance around the circle, while the diameter is the distance across the circle, passing through its center. The circumference is always longer than the diameter.

Q: Can I find the circumference of a circle if I know the diameter?

A: Yes, you can find the circumference of a circle if you know the diameter. Simply use the formula C = πd, where C is the circumference and d is the diameter.

Q: What is the relationship between the circumference and the radius of a circle?

A: The circumference of a circle is directly proportional to the radius of the circle. As the radius increases, the circumference also increases.

Q: Can I find the radius of a circle if I know the circumference?

A: Yes, you can find the radius of a circle if you know the circumference. Simply use the formula r = C / (2Ï€), where r is the radius and C is the circumference.

Conclusion

In this article, we have answered some frequently asked questions related to finding the circumference of a circle. We have covered topics such as the formula for the circumference, the value of π, rounding the circumference to the nearest tenth, and more. We hope this article has been helpful in clarifying any doubts you may have had about finding the circumference of a circle.

Frequently Asked Questions (FAQs)

Q: What is the formula for the circumference of a circle?

A: The formula for the circumference of a circle is C = 2Ï€r, where C is the circumference and r is the radius of the circle.

Q: What is the value of π used in the formula for the circumference of a circle?

A: The value of π used in the formula for the circumference of a circle is approximately 3.14.

Q: How do I round the circumference to the nearest tenth?

A: To round the circumference to the nearest tenth, you need to look at the hundredth place and decide whether to round up or down.

References

  • "Circumference of a Circle" by Math Open Reference
  • "Circumference of a Circle" by Khan Academy
  • "Circumference of a Circle" by Wolfram MathWorld