Math Problem Statement

Find the circumference of a circle with a radius of 2.9 inches, using 3.14 for the value of π. Round your answer to the nearest tenth.

Solution

The problem asks to find the circumference of a circle, given the radius as 2.9 inches and using π=3.14\pi = 3.14. Here's how you solve it:

The formula for the circumference CC of a circle is:

C=2πrC = 2\pi r

Where rr is the radius of the circle. Substituting the values provided:

C=2×3.14×2.9C = 2 \times 3.14 \times 2.9

Let's calculate it:

C=18.212C = 18.212

Rounding this to the nearest tenth, the circumference is:

C18.2inchesC \approx 18.2 \, \text{inches}

Final Answer:

The circumference of the circle is 18.2 inches.


Would you like further details on the steps or any clarifications?
Here are five related questions to deepen your understanding:

  1. How does changing the radius affect the circumference of a circle?
  2. What is the difference between circumference and diameter?
  3. Can you derive the area of a circle using the same value for π\pi and the radius given?
  4. How would the answer change if π\pi were approximated as 22/7 instead of 3.14?
  5. What is the ratio of the circumference to the diameter of any circle, and how is it related to π\pi?

Tip: Always remember that circumference is a linear measurement around the circle, while area covers the space within the circle.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

C = 2πr

Theorems

-

Suitable Grade Level

Grade 6-7