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 18Select one:a.(2, –2)b.(2, 0)c.(0, –2)d.(0, 2)e.(2, 2)

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.

First, convert the angle from degrees to radians. 270 degrees is equivalent to 3π/2 radians.

Next, calculate the x-coordinate: x = rcos(θ) = 2cos(3π/2) = 0.

Then, calculate the y-coordinate: y = rsin(θ) = 2sin(3π/2) = -2.

So, the coordinates of the point on the circle at an angle of 270 degrees are (0, -2).

Therefore, the correct answer is c. (0, -2).