On a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or 3π/2 in radian measure).Question 31Select one:a.(2, –2)b.(2, 0)c.(0, –2)d.(0, 2)e.(2, 2)
Question
On a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or 3π/2 in radian measure).Question 31Select one:a.(2, –2)b.(2, 0)c.(0, –2)d.(0, 2)e.(2, 2)
Solution
The coordinates of a point on a circle with radius r at an angle θ can be found using the equations x = rcos(θ) and y = rsin(θ).
Given that the radius r = 2 and the angle θ = 270 degrees (or 3π/2 in radian measure), we can substitute these values into the equations to find the x and y coordinates.
For the x-coordinate: x = rcos(θ) = 2cos(270) = 0
For the y-coordinate: y = rsin(θ) = 2sin(270) = -2
Therefore, the coordinates of the point on the circle at an angle of 270 degrees are (0, -2).
So, the correct answer is c. (0, -2).
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