On a circle of radius 4 and center (0, 0), find the x and y coordinates at angle 180 degrees (or π in radian measure).Question 1Select one:a.(0, 4)b.(4, 0)c.(4, 4)d.(-4, 0)e.(2, 2)
Question
On a circle of radius 4 and center (0, 0), find the x and y coordinates at angle 180 degrees (or π in radian measure).Question 1Select one:a.(0, 4)b.(4, 0)c.(4, 4)d.(-4, 0)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 = 4 and the angle θ = 180 degrees (or π radians), we can substitute these values into the equations to find the x and y coordinates.
For x: x = rcos(θ) x = 4cos(π) x = -4
For y: y = rsin(θ) y = 4sin(π) y = 0
So, the coordinates of the point on the circle at an angle of 180 degrees are (-4, 0).
Therefore, the correct answer is d.(-4, 0).
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