Circle

The circle is a simple shape in geometry. It consists of all points in a plane that are at a given distance from a given point, the center.

Properties of a Circle

• Radius: The distance from the center to any point on the circle.
• Diameter: The distance across the circle through the center, equal to twice the radius.
• Circumference: The distance around the circle, calculated as C = 2πr, where r is the radius.
• Area: The space enclosed within the circle, calculated as A = πr².

Circle Formulas

1. Circumference:
   C = 2πr
2. Area:
   A = πr²

Example Calculation

Given a circle with a radius of 5:

• Circumference:
  C = 2 * π * 5 ≈ 31.42
• Area:
  A = π * 5² ≈ 78.54