Select The Best Answer For The Question.Using The Formula C = 2 Π R C = 2 \pi R C = 2 Π R , Find The Circumference Of A Circle With A Diameter Of 28 Inches. Round Your Answer To The Nearest Inch.A. 28 In. B. EE In. C. 44 In. D. 88 In.

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Understanding the Problem

To find the circumference of a circle, we can use the formula C=2πrC = 2 \pi r, where CC is the circumference and rr is the radius of the circle. However, in this problem, we are given the diameter of the circle, which is 28 inches. We need to find the circumference using this information.

Finding the Radius

The first step is to find the radius of the circle. Since the diameter is given as 28 inches, we can find the radius by dividing the diameter by 2. This is because the radius is half the length of the diameter.

r = \frac{diameter}{2}

In this case, the diameter is 28 inches, so we can plug this value into the equation:

r = \frac{28}{2}
r = 14

Finding the Circumference

Now that we have the radius, we can use the formula C=2πrC = 2 \pi r to find the circumference of the circle. We can plug the value of the radius into the equation:

C = 2 \pi r
C = 2 \pi (14)

To find the value of CC, we can use the value of π\pi as approximately 3.14:

C = 2 \times 3.14 \times 14
C = 88.48

Rounding the Answer

The problem asks us to round our answer to the nearest inch. Since the value of CC is 88.48, we can round this value to 88 inches.

Selecting the Best Answer

Now that we have found the circumference of the circle, we can select the best answer from the options given:

A. 28 in. B. EE in. C. 44 in. D. 88 in.

Based on our calculation, the correct answer is:

D. 88 in.

Conclusion

In this problem, we used the formula C=2πrC = 2 \pi r to find the circumference of a circle with a diameter of 28 inches. We first found the radius by dividing the diameter by 2, and then used the formula to find the circumference. Finally, we rounded our answer to the nearest inch and selected the best answer from the options given.

Frequently Asked Questions

  • What is the formula for finding the circumference of a circle? The formula for finding the circumference of a circle is C=2πrC = 2 \pi r.
  • What is the radius of a circle with a diameter of 28 inches? The radius of a circle with a diameter of 28 inches is 14 inches.
  • How do I round a decimal value to the nearest inch? To round a decimal value to the nearest inch, you can look at the decimal value and round up if the decimal value is greater than or equal to 0.5, and round down if the decimal value is less than 0.5.

Additional Resources

Understanding the Problem

In the previous article, we discussed how to find the circumference of a circle using the formula C=2πrC = 2 \pi r. However, we received many questions from readers who were struggling to understand the concept. In this article, we will address some of the most frequently asked questions about finding the circumference of a circle.

Q&A

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

A: The formula for finding the circumference of a circle is C=2πrC = 2 \pi r, where CC is the circumference and rr is the radius of the circle.

Q: What is the radius of a circle with a diameter of 28 inches?

A: The radius of a circle with a diameter of 28 inches is 14 inches. This is because the radius is half the length of the diameter.

Q: How do I find the circumference of a circle if I only know the diameter?

A: To find the circumference of a circle if you only know the diameter, you can use the formula C=πdC = \pi d, where CC is the circumference and dd is the diameter of the circle.

Q: What is the value of π\pi?

A: The value of π\pi is approximately 3.14. However, it is an irrational number, which means that it cannot be expressed as a finite decimal or fraction.

Q: How do I round a decimal value to the nearest inch?

A: To round a decimal value to the nearest inch, you can look at the decimal value and round up if the decimal value is greater than or equal to 0.5, and round down if the decimal value is less than 0.5.

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 or diameter into the calculator and multiply it by 2π2 \pi.

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.

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

A: No, you cannot find the circumference of a circle if you only know the area. However, you can use the formula A=πr2A = \pi r^2 to find the radius of the circle, and then use the formula C=2πrC = 2 \pi r to find the circumference.

Conclusion

In this article, we addressed some of the most frequently asked questions about finding the circumference of a circle. We hope that this article has been helpful in clarifying any confusion and providing a better understanding of the concept.

Frequently Asked Questions

  • What is the formula for finding the circumference of a circle?
  • What is the radius of a circle with a diameter of 28 inches?
  • How do I find the circumference of a circle if I only know the diameter?
  • What is the value of π\pi?
  • How do I round a decimal value to the nearest inch?
  • Can I use a calculator to find the circumference of a circle?
  • What is the difference between the circumference and the diameter of a circle?
  • Can I find the circumference of a circle if I only know the area?

Additional Resources