Math Problem Statement

The diameter of a circle is 11 m. Find its circumference in terms of π.

Solution

The problem states: "The diameter of a circle is 11 m. Find its circumference in terms of π."

To find the circumference CC of a circle using its diameter, you use the formula:

C=π×dC = \pi \times d

where dd is the diameter.

Given d=11md = 11 \, m, the circumference in terms of π\pi is:

C=11πmC = 11\pi \, m

So the answer is 11πm11\pi \, m.

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Relative Questions

  1. What is the relationship between radius and diameter?
  2. How do you convert circumference to radius if given in terms of π\pi?
  3. What formula would you use to find the area of the circle given the diameter?
  4. How does the formula change if you are given the radius instead of the diameter?
  5. How would you express the circumference as a decimal if you substitute π3.14\pi \approx 3.14?

Tip

Always remember that the diameter is twice the radius: d=2rd = 2r.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

C = π × d

Theorems

The Circumference Theorem, where circumference is the product of pi and the diameter

Suitable Grade Level

Grades 6-8