Find Parametric Equations for Functions
-Circle: Center: $( 2,3 )$; Radius: 2
A) $x = 2 + 2 \cos t ; y = 3 + 2 \sin t$
B) $x = t - 2 ; ( y - 3 ) ^ { 2 } + t ^ { 2 } = 4$
C) $x = 3 + 2 \sin \mathrm { t } ; \mathrm { y } = 2 + 2 \cos \mathrm { t }$
D) $x = 2 + \sin t ; y = 3 + \cos t$

Question

Quizplus · Accepted Answer

The correct parametric equations for a circle with center $(h, k)$ and radius $r$ are $x = h + r\cos(t)$ and $y = k + r\sin(t)$. For a circle centered at $(2,3)$ with radius 2, the equations are $x = 2 + 2\cos(t)$ and $y = 3 + 2\sin(t)$.

Find Parametric Equations for Functions -Circle: Center (2,3)( 2,3 )(2,3) ; Radius: 2 A)

Find Parametric Equations for Functions
-Circle: Center $( 2,3 )$ ; Radius: 2
A)