Use the Result, "The Set of Parametric Equations for the Circle

Multiple Choice

Use the result, "the set of parametric equations for the circle is $x = h + r \cos \theta , y = k + r \sin \theta "$ to find a set of parametric equations for the circle with a center $( - 2,6 )$ and radius 5 .

A) $x = 5 + \cos \theta , y = 5 + \sin \theta$
B) $x = 4 + 25 \cos \theta , y = 36 + 25 \sin \theta$
C) $x = 2 - 5 \cos \theta , y = 6 + 5 \sin \theta$
D) $x = - \frac { 2 } { 5 } \cos \theta , y = \frac { 6 } { 5 } \sin \theta$
E) $x = - 2 + 5 \cos \theta , y = 6 + 5 \sin \theta$