Summary
Highlights
The video begins by defining the radius and circumference of a circle. The formula for circumference (C = 2πr) is introduced, and an example with a radius of 3 centimeters is solved, yielding an approximate circumference of 18.85 centimeters.
The second section explains how to find the circumference when given the diameter. The relationship between diameter and radius (d = 2r) is highlighted. Using a diameter of 10 inches, the radius is found to be 5 inches, and the circumference is calculated as 10π inches or approximately 31.4 inches.
The final part of the video demonstrates how to calculate the circumference when only the area of the circle is provided. The formula for the area of a circle (A = πr²) is used to first find the radius. Given an area of 113.097 square feet, the radius is approximately 6 feet. This radius is then used with the circumference formula to find an approximate circumference of 12π feet or 37.7 feet.