Using following result find a set of parametric equation of conic.
Circle: $x = h + r \cos \theta , y = k + r \sin \theta$
Circle: center: $( 2,6 )$ ; radius: 8

A) $x = 6 + 8 \cos \theta , y = 6 + 2 \sin \theta$
B) $x = 2 + 6 \cos \theta , y = 6 + 8 \sin \theta$
C) $x = 2 + 8 \cos \theta , y = 6 + 8 \sin \theta$
D) $x = 8 + 2 \cos \theta , y = 6 + 2 \sin \theta$
E) $x = 8 + 6 \cos \theta , y = 6 + 2 \sin \theta$

Question

Using following result find a set of parametric equation of conic. 
Circle: $x = h + r \cos \theta , y = k + r \sin \theta$ 
Circle: center: $( 2,6 )$ ; radius: 8

A) $x = 6 + 8 \cos \theta , y = 6 + 2 \sin \theta$
B) $x = 2 + 6 \cos \theta , y = 6 + 8 \sin \theta$
C) $x = 2 + 8 \cos \theta , y = 6 + 8 \sin \theta$
D) $x = 8 + 2 \cos \theta , y = 6 + 2 \sin \theta$
E) $x = 8 + 6 \cos \theta , y = 6 + 2 \sin \theta$

Quizplus · Accepted Answer

The correct parametric equations for a circle with center $(h, k) = (2, 6)$ and radius $r = 8$ are $x = 2 + 8 \cos \theta$ and $y = 6 + 8 \sin \theta$, matching option C.

Using Following Result Find a Set of Parametric Equation of Conic