Math Problem Statement

Find the circumference of the circle pictured above. Round your answer to the nearest hundredth.

Solution

The image shows a circle with a line representing the radius of the circle, labeled with a length of 4 units.

To find the circumference of a circle, we use the formula:

C=2πrC = 2\pi r

Where:

  • CC is the circumference,
  • π\pi is approximately 3.14159,
  • rr is the radius of the circle.

Here, the radius r=4r = 4.

Substituting this into the formula:

C=2×3.14159×4=25.13272C = 2 \times 3.14159 \times 4 = 25.13272

Rounding to the nearest hundredth, the circumference is:

C25.13C \approx 25.13

Final Answer:

The circumference of the circle is approximately 25.13 units.

Would you like a detailed explanation of the steps, or do you have any further questions?

Here are 5 related questions to explore:

  1. What is the formula for the area of a circle, and how would you compute it with the same radius?
  2. How would the circumference change if the radius was doubled?
  3. Can you find the diameter of the circle given the radius?
  4. How would you calculate the arc length of a quarter of this circle?
  5. What is the relationship between the diameter and the circumference?

Tip: The diameter of a circle is always twice the radius, and the circumference can also be calculated as C=πdC = \pi d, where dd is the diameter.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference
Circles

Formulas

C = 2πr

Theorems

Circumference of a Circle

Suitable Grade Level

Grades 6-8