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Multiple Choice
Plot the point on the polar coordinate system. (5,210°)
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Verified step by step guidance
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Identify the polar coordinates given: (5, 210°). The first value, 5, is the radius (r), and the second value, 210°, is the angle (θ) in degrees.
Convert the angle from degrees to radians if necessary. Since the polar grid is labeled in radians, convert 210° to radians using the formula: θ (radians) = θ (degrees) × (π/180).
Calculate 210° in radians: 210° × (π/180) = 7π/6 radians.
Locate the angle 7π/6 on the polar coordinate system. This angle is in the third quadrant, as it is greater than π (180°) and less than 3π/2 (270°).
From the origin, move along the direction of 7π/6 radians and mark the point at a distance of 5 units from the origin. This is the location of the point (5, 210°) on the polar coordinate system.