Math Problem Statement

What is the circumference of a circle with diameter 32?

Use 3.14 for pi.

Round your answer to the nearest tenth.

Solution

The formula for the circumference CC of a circle is:

C=π×dC = \pi \times d

where dd is the diameter. Given that the diameter is 32 and π\pi is approximately 3.14, the calculation is:

C=3.14×32=100.48C = 3.14 \times 32 = 100.48

Rounding to the nearest tenth:

C100.5C \approx 100.5

So, the circumference is approximately 100.5 units.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the circumference of a circle with a radius of 16?
  2. How does the circumference change if the diameter is doubled?
  3. What is the area of a circle with the same diameter?
  4. If the diameter of a circle is halved, what happens to the circumference?
  5. How is the circumference related to the radius of the circle?

Tip: The circumference of a circle is directly proportional to its diameter, meaning if you double the diameter, you also double the circumference.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

C = π × d

Theorems

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Suitable Grade Level

Grades 6-8