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`A = pi * (sqrt(( "a" + "b" + "c" )/2(( "a" + "b" + "c" )/2- "a" )(( "a" + "b" + "c" )/2- "b" )(( "a" + "b" + "c" )/2- "c" )) / (( "a" + "b" + "c" )/2))^2`

Enter a value for all fields

The **Area of Circle Within a Triangle** calculator computes the area (blue circle in diagram) of circle that is perfectly inscribed within a triangle.

**INSTRUCTIONS**: Choose units and enter the following:

**(**Length of Side a**a**)**(**Length of Side b**b**)**(**Length of Side c**c**)

**Area of Circle Within a Triangle (A): **The area is returned in square meters and the radius (r) is returned in meters. However, these can be automatically converted to compatible units via the pull-down menu.

The formula for Area of Circle Within a Triangle equation is:

`A = pi * (sqrt((a+b+c)/2((a+b+c)/2-a)((a+b+c)/2-b)((a+b+c)/2-c)) / ((a+b+c)/2))^2`

where:

- A = Area of Circle inscribe within a triangle.
- a = length of side a
- b = length of side b
- c = length of side c

**Note**: (a+b+c)/2 is the semi-perimeter of the triangle

A **triangle** is a polygon with three sides, three vertices (corners), and three angles. **Triangles **can be classified based on the lengths of their sides and the measures of their angles as follows:

By Side Lengths:

**Equilateral Triangle**: All three sides are equal in length.**Isosceles Triangle**: Two sides are equal in length.**Scalene Triangle**: All three sides have different lengths.

By Angle Measures:

**Acute Triangle**: All three angles are less than 90 degrees.**Right Triangle**: One angle is exactly 90 degrees.**Obtuse Triangle**: One angle is greater than 90 degrees.

The sum of the interior angles of any triangle always adds up to 180 degrees.

- Area of Triangle (base and height)
- Area of Triangle (two sides and interior angle)
- Area of Triangle (two angles and interior side)
- Area of Triangle (three sides)
- Area of Equilateral Triangle
- Area of Triangle (three points)
- Height of Triangle
- Width of Triangle
- Triangle Perimeter
- Interior Angle of a triangle based on the length of three sides
- Semi-perimeter of a triangle
- Area of Circle Within a Triangle
- Area of Circle Around a Triangle
- Area between two vectors
- Triangle Volume