Step 1 :

Find the area of the segment.

Area of the segment = area of the sector $\"\"$ area of the triangle.

Area of the sector : $\"image\"$ , where $\"image\"$ is in radians.

From diagram :

Radius of the circle $\"\"$ .

Central angle : $\"\"$ .

$\"\"$

Substitute corresponding values in $\"image\"$ .

$\"\"$

Area of the sector is 39.104 square units.

Step 3 :

Let the angle is $\"\"$ and,

The two sides of the triangle are $\"\"$ . (Since radius of the circle $\"\"$ )

Area of the triangle is $\"k$ .

Substitute corresponding values.

$\"\"$

Area of the triangle is 30.07 square units.

Step 4 :

Area of the segment = area of the sector $\"\"$ area of the triangle.

= 39.104 $\"\"$ 30.07

= 9.03.

Area of the segment is 9.03 square units.