Math Problem Statement

The radius of a circle is 2.9 inches. What is the circle's circumference? Use β€‹πœ‹ β‰ˆ 3.14 and round your answer to the nearest hundredth. inches

Solution

To find the circumference of a circle, we can use the formula:

C=2Ο€rC = 2 \pi r

Where:

  • CC is the circumference
  • Ο€\pi is approximately 3.14
  • rr is the radius of the circle (2.9 inches in this case)

Substituting the values:

C=2Γ—3.14Γ—2.9C = 2 \times 3.14 \times 2.9

C=18.212C = 18.212

Rounding to the nearest hundredth:

Cβ‰ˆ18.21 inchesC \approx 18.21 \text{ inches}

So, the circumference of the circle is approximately 18.21 inches.

Would you like any further explanation or details?

Here are some related questions to consider:

  1. How does the formula for the circumference change if the diameter is given instead of the radius?
  2. What would the circumference be if the radius were doubled to 5.8 inches?
  3. How do you find the area of a circle if you know the radius?
  4. What is the relationship between the diameter and the radius of a circle?
  5. How would the circumference change if we used a more precise value for Ο€\pi?

Tip: If you need a more accurate answer for real-world applications, you could use a more precise value for Ο€\pi, like 3.14159.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference Calculation

Formulas

Circumference formula: C = 2Ο€r

Theorems

Definition of Circumference
Approximation of Ο€

Suitable Grade Level

Grades 6-8