Math Problem Statement

Find the circumference of a circle with a diameter of 16 cm.

Solution

To find the circumference of the circle, we need to use the formula:

C=π×dC = \pi \times d

where CC is the circumference and dd is the diameter of the circle.

From the image, we can see that the diameter (dd) of the circle is given as 16 cm. Plugging this into the formula:

C=π×16cmC = \pi \times 16 \, \text{cm}

Now, let's calculate the circumference:

C3.14×16=50.24cmC \approx 3.14 \times 16 = 50.24 \, \text{cm}

Rounding to 1 decimal place, the circumference is:

C50.2cmC \approx 50.2 \, \text{cm}

Final Answer:

The circumference of the circle is 50.2 cm (to 1 decimal place).

Would you like more details or have any questions?

Further Questions:

  1. How would you calculate the circumference if only the radius is given?
  2. What is the difference between the radius and diameter of a circle?
  3. Can you derive the formula for the area of a circle using its radius?
  4. How do you convert the circumference into a diameter?
  5. How does the value of π affect the circumference of a circle?

Tip:

When working with circles, remember that the radius is always half of the diameter, which can simplify many calculations!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

Circumference formula: C = π × d

Theorems

Definition of circumference

Suitable Grade Level

Grades 6-8