Math Problem Statement

Find the circumference of the circle pictured above with a diameter of 16. Round your answer to the nearest tenth.

Solution

To find the circumference of the circle in the image, we need to first understand that the number "16" represents the diameter of the circle.

The formula to calculate the circumference CC of a circle is:

C=π×dC = \pi \times d

Where dd is the diameter.

In this case, the diameter d=16d = 16. Now, we can calculate the circumference.

C=π×163.1416×16C = \pi \times 16 \approx 3.1416 \times 16

Let me compute that for you.The circumference of the circle is approximately 50.350.3 units, rounded to the nearest tenth.

Would you like further details or have any other questions?

Here are five related questions to expand on this:

  1. How is the circumference formula related to the area of a circle?
  2. What is the area of a circle with the same diameter of 16 units?
  3. How do we calculate the radius if the circumference is known?
  4. What is the relationship between the diameter and radius of a circle?
  5. How would the circumference change if the diameter were doubled?

Tip: Remember, the radius of a circle is always half of the diameter. This can simplify many calculations involving circles!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle
Basic Circle Properties

Formulas

C = π × d (Circumference formula)

Theorems

Circumference Theorem

Suitable Grade Level

Grades 6-8