Question

Find the area of the shape.

Either enter an exact answer in terms of \piπpi or use 3.14 for pi enter your answer as a decimal.

Answer 1

Given:

Given that the radius of the circle is 4 units.

The given figure is
`(3)/(4)`th of the circle.

We need to determine the area of the
`(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
`(3)/(4)`th of the circle:

The area of the
`(3)/(4)`th of the circle is given by

`A=(3)/(4)(16 \pi)`

`A=12 \pi`

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