Convert the rectangular equation to polar form.Assume r 1. $x ^ { 2 } + y ^ { 2 } = 49$
A) $r = 7$
B) $r = - 7$
C) $r = \frac { 1 } { 7 }$
D) $r = 49$
E) $r = - \frac { 1 } { 7 }$

Question

Convert the rectangular equation to polar form.Assume r > 1.  $x ^ { 2 } + y ^ { 2 } = 49$ 
A) $r = 7$
B) $r = - 7$
C) $r = \frac { 1 } { 7 }$
D) $r = 49$
E) $r = - \frac { 1 } { 7 }$

Quizplus · Accepted Answer

The given equation $x^2 + y^2 = 49$ is in rectangular form. In polar coordinates, $x = r\cos(\theta)$ and $y = r\sin(\theta)$, so $x^2 + y^2 = r^2(\cos^2(\theta) + \sin^2(\theta)) = r^2$. Therefore, $r^2 = 49$, and since $r > 1$, $r = 7$.

Convert the Rectangular Equation to Polar Form x2+y2=49x ^ { 2 } + y ^ { 2 } = 49x2+y2=49

Convert the Rectangular Equation to Polar Form $x ^ { 2 } + y ^ { 2 } = 49$