# Area of a Segment of a Circle Calculator

Radian is the angle formed when the radius and the sector of the circle is covered, just like placing the compass at the center point and moving over the circumference of the circle. Use this simple Area of a Segment of a Circle Calculator based on Radius and Radians to find the segment area circle. This can be calculated by first finding the area of the particular sector of circle and subtracting the area of the triangle formed by the given radian and radius.

## Calculate Circle Segment Area based on Radius,Radians

Radian is the angle formed when the radius and the sector of the circle is covered, just like placing the compass at the center point and moving over the circumference of the circle. Use this simple Area of a Segment of a Circle Calculator based on Radius and Radians to find the segment area circle. This can be calculated by first finding the area of the particular sector of circle and subtracting the area of the triangle formed by the given radian and radius.

Code to add this calci to your website

#### Formula:

S = (R^{2}/2) × (X-sin X)
**Where,**
S = Area of Segment Circle
R = Radius
X =Central Angle

#### Example1

**A circle has a radius of 1mm and Central angle of 3 radians . Find The Area of a Segment of a Circle.**

S = (1^{2}/2) × (3- sin (3))

= 1.4294mm^{2}.

#### Example2

**A circle has a radius of 1mm and Central angle of 171.887 degrees . Find The Area of a Segment of a Circle.**

1degree=0.0174533 radians

S = (1^{2}/2 ) × ((171.887 × 0.0174533) - sin (171.887 × 0.0174533))

= 1.4294mm^{2}.