Asked by Sarah
An ant starts at the point (3,0) on a circle of radius 3 meters and walks counterclockwise a distance of 6 meters around the circle. Find the x and the y coordinates of the ants location.
Round to the nearest hundredth.
Round to the nearest hundredth.
Answers
Answered by
Reiny
draw a line from his final position to the centre and complete the triangle
all the way around is 2πr = 6π
so completed 6/6π or 1/π around the circle
angle"
Ø/360 = 6/6π
Ø = 360/π
= 114.59156°
cosØ = x/3 and sinØ = y/3
x = 3cosØ = -1.25
y = 3sinØ = 2.73
check
(-1.25)^2 + 2.73^2 = 9
radius = √9 = 3
all the way around is 2πr = 6π
so completed 6/6π or 1/π around the circle
angle"
Ø/360 = 6/6π
Ø = 360/π
= 114.59156°
cosØ = x/3 and sinØ = y/3
x = 3cosØ = -1.25
y = 3sinØ = 2.73
check
(-1.25)^2 + 2.73^2 = 9
radius = √9 = 3
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.