Fractional Part of a Circle Calculator

Calculate Fractional Part of a Circle



Formula

The formula to calculate the fractional part of a circle is:

\[ F = \left(\frac{d}{360}\right) \cdot \pi \cdot r^2 \]

Where:

What is a Fractional Part of a Circle?

A fractional part of a circle refers to a portion or segment of the circle that is less than the whole. This is often represented as a fraction of the circle’s total area or circumference. For example, if a circle is divided into four equal parts, each part represents a fractional part of the circle, specifically one-fourth or 0.25 of the total circle. This concept is commonly used in mathematics, particularly in geometry and trigonometry.

Example Calculation

Let's assume the following values:

Using the formula:

\[ F = \left(\frac{90}{360}\right) \cdot \pi \cdot 10^2 = 0.25 \cdot \pi \cdot 100 = 25\pi \approx 78.54 \text{ square units} \]

The Area of the Fractional Part of the Circle (F) is approximately 78.54 square units.