Plot the point on the polar coordinate system.
$(5,210°)$

• A.
• B.
• C.
• D.

Answer: (A)

Verified step by step guidance

1. Step 1: Understand the polar coordinate system. A polar coordinate is represented as (r, θ), where 'r' is the radial distance from the origin and 'θ' is the angle measured counterclockwise from the positive x-axis.
2. Step 2: Identify the given polar coordinates. In this case, the point is (5, 210°), where 'r' = 5 and 'θ' = 210°.
3. Step 3: Convert the angle θ from degrees to radians if necessary. Recall that 210° can be converted to radians using the formula θ (radians) = θ (degrees) × π/180. This gives θ = 210 × π/180 = 7π/6 radians.
4. Step 4: Locate the angle θ = 7π/6 on the polar coordinate system. This angle lies in the third quadrant, as it is greater than π but less than 3π/2.
5. Step 5: From the origin, move outward along the line corresponding to θ = 7π/6 until you reach the radial distance of r = 5. Mark the point at this location on the polar coordinate system.