Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).
The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.
For the y-value, we can write and solve:
sin75 = x/20
For the x-value, we can write and solve:
cos75 = x/20
Circumference = 2πr
Since you know the diameter is 300, you divide it by 2 to find the radius. Therefore, the radius is 150.
Now plug it into the formula: C = 2(3.14)(150)
C = 942
Answer: Circumference is 942 feet
The answer to this question is x= -3
