Question

Can u plzzz help meeee plzzzz

Answer 1

1. 452.16 square centimeters

2. 150.72 square centimeters

3. 25.12 centimeters

Explanation:

1. the area of the circle

The area of a circle can be calculated with:

`a=\pi r^2`

The area of the given circle then, is:

`a=\pi 12^2\\a=144\pi\\`

or just 452.16 square centimeters.

2. the area of the minor sector

There's a convenient formula for this, but I don't remember it and you don't really need it. A full circle is 360°, and 120° is exactly 1 third of that. 1 third of the size means 1 third of the area:

`a=452.16*(1)/(3) \\a=150.72`

or 150.72 square centimeters

3. the area of the minor arc

You can do the same thing here. The circumference of a circle is:

`u=2\pi r`

So the circumference of the given circle is:

`u=2\pi (12)\\u=24\pi`

or about 75.36 centimeters.

One third of that:

`u=75.36*(1)/(3) \\u=25.12`

25.12 centimeters.