28) A crop of wheat is planted in a circle and irrigated by a moving
arm, as shown in the diagram.
Irrigated Crop Circle
ARM
radius = 1/3 mile
The moving arm has a length of
1/3 mile. What is the circumference of
the crop circle? Answer in pi form.

2/3*π

Step-by-step explanation:

The formula for the circumference of a circle is 2πr and so plugging in 1/3 as r it becomes 2π*1/3 which we can convert into 2/3*π

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west