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# Pie Cut Calculator: Understanding and Computing Pie Cuts

Pie cuts are an essential aspect of mathematics, engineering, and design, playing a crucial role in various fields, from construction to pastry baking. To help you better understand and calculate pie cuts, we offer an efficient and user-friendly Pie Cut Calculator.

### What is a Pie Cut?

A pie cut, as the name suggests, refers to the slice of a circle, much like a slice of pie. To precisely measure a pie cut, you need two critical parameters: the angle of the slice (in degrees) and the diameter of the entire pie.

### The Pie Cut Calculator

Our Pie Cut Calculator simplifies the process of calculating the radius and circumference of a pie cut. You simply input the angle of the slice and the diameter of the full pie, and the calculator provides the radius and the circumference of the pie cut.

### The Math Behind the Calculator

The calculator uses the following formulas:

1. Radius (r) = Diameter / 2: The radius is half the diameter of the pie. This formula calculates the radius of the full pie.
2. Circumference (c) = 2 * π * r * (angle / 360): The circumference of the pie cut is determined by the ratio of the angle to 360 degrees (representing a full circle). This ratio is multiplied by the full circumference of the pie (2 * π * r).

### Example

Let’s say we have a pie with a diameter of 10 units and we want to calculate the radius and circumference of a cut that has an angle of 60 degrees.

• First, we calculate the radius: Radius = 10 / 2 = 5 units.
• Then, we calculate the circumference: Circumference = 2 * π * 5 * (60 / 360) ≈ 5.24 units.