Area of Circle Segment Calculator

The circular segment area can be said as the area equivalent to that of the area of the circular sector deducted the area of the triangular portion. The given below is the area of circle segment calculator to calculate the area of the segment of a circle. This can be calculated based on the known values of radius and central angle within the fractions of seconds. This tool is designed considering the ease of user and reliability in computing results.

length
degree
area

The circular segment area can be said as the area equivalent to that of the area of the circular sector deducted the area of the triangular portion. The given below is the area of circle segment calculator to calculate the area of the segment of a circle. This can be calculated based on the known values of radius and central angle within the fractions of seconds. This tool is designed considering the ease of user and reliability in computing results.

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Formula:

A = R² × (θ - sin(θ)) / 2 Where, R = Radius A = Area of Circle Segment θ = Central Angle

Example:

Calculate the area of circle segment which has the radius of 50 cm and the central angle of 45°.

Solution:

A = 50² × (45 - sin(45)) / 2
= 97.8642 cm²


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