Transform the given rectangular equation x 2 + ( y + 8 ) 2 = 25 x^2+\left(y+8\right)^2=25 x 2 + ( y + 8 ) 2 = 25 into a polar equation expressing r r r in terms of θ θ θ .

r 2 = − 16 r sin ⁡ θ − 39 r^2=-16r\sin\theta-39 r 2 = − 16 r sin θ − 39

r 2 = 16 sin ⁡ θ − 39 r^2=16\sin\theta-39 r 2 = 16 sin θ − 39

r 2 = 16 r sin ⁡ θ − 39 r^2=16r\sin\theta-39 r 2 = 16 r sin θ − 39

r 2 = 16 r sin ⁡ θ + 39 r^2=16r\sin\theta+39 r 2 = 16 r sin θ + 39

Convert Equations Between Polar and Rectangular Forms

9. Polar Equations / Convert Equations Between Polar and Rectangular Forms / Problem 2

Problem 2

Transform the given rectangular equation $x^2+\left(y+8\right)^2=25$ into a polar equation expressing $r$ in terms of $θ$ .

$r^2=16\sin\theta-39$

$r^2=-16r\sin\theta-39$

$r^2=16r\sin\theta-39$

$r^2=16r\sin\theta+39$