Question

Can u plzzz help meeee plzzzz

Answer 1

Answer:

1. 452.16 square centimeters

2. 150.72 square centimeters

3. 25.12 centimeters

Step-by-step 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:

$a=452.16*\frac{1}{3} \\a=150.72$

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:

$u=75.36*\frac{1}{3} \\u=25.12$

25.12 centimeters.