Math Problem Statement

Find the circumference of a circle with a radius of 11 inches using π = 3.14.

Solution

The problem asks to find the circumference of a circle, given the radius r=11inr = 11 \, \text{in} and using π=3.14\pi = 3.14.

The formula for the circumference CC of a circle is:

C=2πrC = 2 \pi r

Substituting the values:

C=2×3.14×11C = 2 \times 3.14 \times 11

Now, let’s compute the result:

C=2×3.14×11=69.08inchesC = 2 \times 3.14 \times 11 = 69.08 \, \text{inches}

Thus, the circumference of the circle is 69.08 inches.

Would you like a further explanation or details about any step? Here are five related questions you might find interesting:

  1. How is the circumference of a circle related to its diameter?
  2. How would the circumference change if the radius was doubled?
  3. What is the area of the circle with radius 11 inches?
  4. Can you derive the formula for circumference from basic geometric principles?
  5. How does the value of π\pi influence the accuracy of circumference calculations?

Tip: Remember, the diameter of a circle is twice the radius, so you could also calculate circumference using C=πDC = \pi D.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle Properties

Formulas

C = 2πr
C = πD

Theorems

Circumference Theorem

Suitable Grade Level

Grades 6-8