Question

Find the area of the shape.

Answer 1

Given:

Given that the radius of the circle is 4 units.

The given figure is $\frac{3}{4}$th of the circle.

We need to determine the area of the $\frac{3}{4}$th of the circle.

Area of the circle:

The area of the circle can be determined using the formula,

$A=\pi r^2$

Substituting r = 4, we have;

$A=\pi (4)^2$

$A=16 \pi$

Thus, the area of the circle is 16π units².

Area of the $\frac{3}{4}$th of the circle:

The area of the $\frac{3}{4}$th of the circle is given by

$A=\frac{3}{4}(16 \pi)$

$A=12 \pi$

Therefore, the area of the shape is 12π units².