For converting radian to degree we simply place pi as 180 degree.
So the given angle in radians =
![\frac{-19 \pi}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-19%20%5Cpi%7D%7B6%7D%20)
Now can place pi = 180 degree in this angle.
So angle in degree =
![\frac{-19 * 180}{6} = -19 * 30 = -570](https://tex.z-dn.net/?f=%20%5Cfrac%7B-19%20%2A%20180%7D%7B6%7D%20%3D%20-19%20%2A%2030%20%3D%20-570%20)
So given angle in degree = -570 degree
The plc as value of 6 in12.6 is the tenths place
For this case we have that by definition, the area of a rectangle is given by:
![A = w * l](https://tex.z-dn.net/?f=A%20%3D%20w%20%2A%20l)
Where:
w: Is the width of the rectangle
l: is the length of the rectangle
Each of the girls has 24 feet of fencing, that is, the perimeter is ![P = 2w + 2l = 24.](https://tex.z-dn.net/?f=P%20%3D%202w%20%2B%202l%20%3D%2024.)
Amy:
![l = 6 \ ft\\2w + 2 (l) = 24\\2w + 2 (6) = 24\\2w + 12 = 24\\2w = 24-12\\2w = 12\\w = 6](https://tex.z-dn.net/?f=l%20%3D%206%20%5C%20ft%5C%5C2w%20%2B%202%20%28l%29%20%3D%2024%5C%5C2w%20%2B%202%20%286%29%20%3D%2024%5C%5C2w%20%2B%2012%20%3D%2024%5C%5C2w%20%3D%2024-12%5C%5C2w%20%3D%2012%5C%5Cw%20%3D%206)
Thus, Amy's fence area is: ![A = 6 * 6 = 36 \ ft ^ 2](https://tex.z-dn.net/?f=A%20%3D%206%20%2A%206%20%3D%2036%20%5C%20ft%20%5E%202)
Zach:
![l = 8 \ ft\\2w + 2l = 24\\2w + 2 (8) = 24\\2w + 16 = 24\\2w = 24-16\\2w = 8\\w = 4](https://tex.z-dn.net/?f=l%20%3D%208%20%5C%20ft%5C%5C2w%20%2B%202l%20%3D%2024%5C%5C2w%20%2B%202%20%288%29%20%3D%2024%5C%5C2w%20%2B%2016%20%3D%2024%5C%5C2w%20%3D%2024-16%5C%5C2w%20%3D%208%5C%5Cw%20%3D%204)
Thus, the area of Zach's fence is:![A = 4 * 8 = 32 \ ft ^ 2](https://tex.z-dn.net/?f=A%20%3D%204%20%2A%208%20%3D%2032%20%5C%20ft%20%5E%202)
Answer:
Amy's garden has a greater area
, is
greater