Calculus

Polar Equations

Converting Cartesian Coordinates to Polar

         

The point (5,53)(5, 5\sqrt{3}) in Cartesian coordinates can be expressed as (r,θ)(r, \theta^{\circ}) in polar coordinates, where rr is a positive real number and 0θ1800 \leq \theta \leq 180. What is the value of r+θr+ \theta?

The point (213,21)(-21\sqrt{3}, 21) in Cartesian coordinates can be expressed as (r,θ)(r, \theta) in polar coordinates, where r is a positive real number and 0θ1800^{\circ} \leq \theta \leq 180^{\circ}. If θ\theta is measured in degrees, what is the value of r+θr+ \theta?

If point PP is given in Cartesian coordinates as P=(15,15),P=(15, 15), what are the polar coordinates of P?P?

The point (19,19)(19, -19) in Cartesian coordinates can be expressed as (q2,θ)(q\sqrt{2}, \theta^{\circ}) in polar coordinates, where qq is a positive real number and 0θ360.0 \leq \theta \leq 360. What is the value of q+θq+ \theta?

The point (192,192)(-19\sqrt{2}, 19\sqrt{2}) in Cartesian coordinates can be expressed as (r,θ)(r, \theta) in polar coordinates, where rr is a positive real number and 0θ1800^{\circ} \leq \theta \leq 180^{\circ}. If θ\theta is measured in degrees, what is the value of r+θr+\theta?

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