Answer 1

\[Area=\frac{\theta r^2}{2}\]

Answer 2

2pi being the full theta of a circle we get:

Area = 2pi r^2/2 = pi r^2

Answer 3

One full circle is 360 degrees.
Since that sector in the circle is 75 degrees.
What you want to find is the other (360-75) = 285 degrees

using proportion that is, 285/360=0.791

Finding the area of the circle with the formula pi * r^2,
pi * 3^2 = 28.27

Area of the green potion = 28.27*0.791= 22.4 square inches

Answer 4

Thanks. These are the answer possibilities btw.