Circular Sector Area Calculator & Formula

Circle Sector Area Calculation

Unit
 Result: Area 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.

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
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 cm100 mm = 3.93 in1000 mm = 3.28 ft1000 mm = 1 m 1 cm = 10 mm10 cm = 3.93 in100 cm = 3.28 ft100 cm = 1 m 1 ft = 3048 mm1 ft = 304.8 cm1 ft = 12 in10 ft = 3.048 m 1 in = 25.4 mm1 in = 2.54 cm100 in = 8.33 ft100 in = 2.54 m

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