To find the area of the sector formed by an angle and radius, you can use the formula:
Area of sector = (angle / 2π) * πr²
In this case, the given angle is 3π/4 and the radius is 6. Plugging these values into the formula, we get:
Area of sector = (3π/4 / 2π) * π * 6²
= (3/8) * π * 36
= (9/2) * 36
= 162
Therefore, the area of the sector formed by the angle 3π/4 and radius 6 is 162 square units.