Select a type of sector below
The area of a sector is the portion of a circle enclosed by two radii and an arc. It is a useful concept in fields such as geometry, physics, and engineering. For example, in civil engineering, the area of a sector can be used to calculate the amount of land needed for a circular parking lot or a roundabout. In physics, the area of a sector can be used to calculate the amount of solar energy received by a solar panel, which is proportional to the area of the panel facing the sun. Additionally, the area of a sector is used in various calculations involving circles and angles.
The formula for determining the area of an elliptical sector is defined as:
\(A\): the area of the sector
\(\theta_1\): The angle of between the a axis and the first leg of the sector.
\(\theta_2\): The angle of between the a axis and the second leg of the sector.
\(a\): the length of axis a
\(b\): the length of the axis b
The SI unit of area is: \(square \text{ } meter\text{ }(m^2)\)
Find \(A\)
Use this calculator to determine the area of an elliptical sector using the lengths of the axes and the angles.
The angle of between the a axis and the first leg of the sector.
The angle of between the a axis and the second leg of the sector.