Final answer:
The coordinates of a point on a circle with a radius of 20 corresponding to an angle of 160 degrees can be found using trigonometry.
Step-by-step explanation:
The coordinates of a point on a circle with a radius of 20 corresponding to an angle of 160 degrees can be found using trigonometry.
First, convert the angle from degrees to radians by multiplying it by π/180. So, 160 degrees = 160π/180 = 8π/9 radians.
The x-coordinate (horizontal distance) of the point can be found using the formula x = r * cosθ, where r is the radius and θ is the angle.
Substituting the values into the formula, we have x = 20 * cos(8π/9).
The y-coordinate (vertical distance) of the point can be found using the formula y = r * sinθ.
Substituting the values into the formula, we have y = 20 * sin(8π/9).
Therefore, the coordinates of the point on the circle with a radius of 20 corresponding to an angle of 160 degrees are (x, y) = (20 * cos(8π/9), 20 * sin(8π/9)).