Given:
Given that the radius of the figure is 6 units.
We need to determine the area of the shape.
Angle of the shape:
The angle of the shape is given by
[tex]\theta=360-90=270[/tex]
Hence, the angle of the shape is 270°
Area of the shape:
The area of the shape can be determined using the formula,
[tex]A=(\frac{\theta}{360}) \pi r^2[/tex]
Substituting r = 6, we get;
[tex]A=(\frac{270}{360}) (3.14)(6)^2[/tex]
Simplifying, we get;
[tex]A=(0.75)(3.14)(36)[/tex]
[tex]A=84.78[/tex]
Thus, the area of the shape is 84.78 square units.
