Circular Sector Area Calculator, Formula & Solved Example

Circle Sector Area Calculator

Square Unit

circle sector area calculator - step by step calculation, formulas & solved example problem to find the area of circle sector given input values of corcle radius & the sector angle in degrees in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, circle sector is a part of a circle lying between two straight lines drawn from the centre to the edge. The formula, solved example & step by step calculations may useful for users to understand how the input values are being used in such sector area calculations. Also this featured sector area calculator uses the various conversion functions to find its volume in SI or metric or US customary units.

Circle Sector & its Formula

The following mathematical formula is used in this circular sector calculator to find the area for the given input values of radius r & the angle θ in degrees.

formula to find circle sector area

Solved Example

The below solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the sector area of a circle.

Example Problem :
Find the area of circular sector having the radius r = 18 cm and sector angle 25.?

Solution :
The given values
radius r = 18 cm
sector angle θ = 25.

Step by step calculation
formula to find sector area = (π r2 θ) / 360
substitute the values
= (π x 182 x 25)/360
= 70.71 cm2

The sector area of a circle may required to be calculated in SI or metric or US customary unit systems, therefore this sector calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm) by using this below conversion table.

10 mm = 1 cm
100 mm = 3.93 in
1000 mm = 3.28 ft
1000 mm = 1 m
1 cm = 10 mm
10 cm = 3.93 in
100 cm = 3.28 ft
100 cm = 1 m
1 ft = 3048 mm
1 ft = 304.8 cm
1 ft = 12 in
10 ft = 3.048 m
1 in = 25.4 mm
1 in = 2.54 cm
100 in = 8.33 ft
100 in = 2.54 m

In the field of area & volume calculations, finding the sector area of a circle is important to understand basic mathematical computations. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate circle's sector area manually, however, when it comes to online to perform quick calculations, this circle's sector area calculator may be useful to find the results.

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