Given:
Given that the radius of the circle is 4 units.
The given figure is [tex]\frac{3}{4}[/tex]th of the circle.
We need to determine the area of the [tex]\frac{3}{4}[/tex]th of the circle.
Area of the circle:
The area of the circle can be determined using the formula,
[tex]A=\pi r^2[/tex]
Substituting r = 4, we have;
[tex]A=\pi (4)^2[/tex]
[tex]A=16 \pi[/tex]
Thus, the area of the circle is 16π units².
Area of the [tex]\frac{3}{4}[/tex]th of the circle:
The area of the [tex]\frac{3}{4}[/tex]th of the circle is given by
[tex]A=\frac{3}{4}(16 \pi)[/tex]
[tex]A=12 \pi[/tex]
Therefore, the area of the shape is 12π units².
