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 7Select 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 7Select one:a.(2, –2)b.(2, 0)c.(0, –2)d.(0, 2)e.(2, 2)
Solution
To find the x and y coordinates on a circle at a given angle, we can use the equations x = rcos(θ) and y = rsin(θ), where r is the radius of the circle and θ is the angle in radians.
Given that the radius r = 2 and the angle θ = 270 degrees = 3π/2 radians, we can substitute these values into the equations:
x = 2cos(3π/2) = 20 = 0 y = 2sin(3π/2) = 2(-1) = -2
So, the coordinates at angle 270 degrees on a circle of radius 2, centered at (0, 0), are (0, -2). Therefore, the correct answer is c. (0, -2).
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