Question

Select the correct answer. convert (-3, 0) to polar form. a. (3, 0°) b. (-3, 180°) c. (3, 180°) d. (3, 360°)

Answer 1

The polar form of the Cartesian coordinates (-3, 0) is c.(3, 180°), where 3 is the radius and 180° is the angle.

Step-by-step explanation:

To convert the Cartesian coordinates (-3, 0) to polar form, we consider the radius and the angle made with the positive x-axis in a counterclockwise direction. The radius is the distance from the origin to the point, which can be found using the Pythagorean theorem. In this case, the radius is the absolute value of -3, which is 3. The angle is determined by the direction from the origin to the point. Since the point lies on the negative x-axis, it corresponds to an angle of 180°. Therefore, the polar form of (-3, 0) is (3, 180°).