Circles
Table of Contents
1. Circles
1.1. Sectors
A portion of a circle (ie. section)
1.1.1. Formula
Assumign degrees:
\begin{equation} \frac{SectorArea}{\pi (radius)^2} = \frac{Arc\theta}{360\textdegree} \end{equation}Assuming radians:
\begin{equation} SectorArea = \frac{1}{2} \times (radius)^2\theta \end{equation}1.2. Arcs
See Arcs for more information
1.2.1. Formula
\begin{equation}
\frac{Arc \textdegree}{2 \pi x} = \frac{Arc u}{360\textdegree}
\end{equation}
1.3. Radius
The length from the central angle to the edge of the circle.
1.4. Area
The amount of space that can fit inside of 2D circle
1.4.1. Formula
\begin{equation}
A=\pi radius^2
\end{equation}
1.5. Circumference
The length of the line that forms the full arc of a circle.
1.5.1. Formula
\begin{equation}
A=2 \pi radius
\end{equation}
or
\begin{equation} A=\pi diameter \end{equation}