Math Problem Statement

a circle has a radius of 40 centimeters what's the closest to the circumference

Solution

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

C=2πrC = 2 \pi r

where:

  • CC is the circumference
  • rr is the radius of the circle

Given that the radius r=40r = 40 centimeters, we can substitute that into the formula:

C=2π×40=80π80×3.1416=251.33cmC = 2 \pi \times 40 = 80 \pi \approx 80 \times 3.1416 = 251.33 \, \text{cm}

So, the closest value for the circumference is approximately 251.33 centimeters.

Would you like further details or have any questions about this?

Here are some follow-up questions:

  1. How does the formula for the circumference relate to the diameter of a circle?
  2. What is the difference between circumference and area of a circle?
  3. Can you calculate the area of this circle using the radius?
  4. How does the value of π\pi impact the calculation of the circumference?
  5. How would the circumference change if the radius was doubled?

Tip: To make more accurate circle-related calculations, always use a more precise value for π\pi, such as 3.141592653589793.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference
Pi

Formulas

C = 2πr

Theorems

Circumference of a circle

Suitable Grade Level

Grades 6-8