A circle has its center located at the point ( 5 , − 3 ) (5, -3) ( 5 , − 3 ) and its radius is 8 8 8 . What are the parametric equations that describe this circle?

x = 5 + 8 cos ⁡ ( t ) , y = − 3 + 8 sin ⁡ ( t ) x=5+8\cos(t),y=-3+8\sin(t) x = 5 + 8 cos ( t ) , y = − 3 + 8 sin ( t )

x = 5 + 8 sin ⁡ ( t ) , y = − 3 + 8 cos ⁡ ( t ) x=5+8\sin(t),y=-3+8\cos(t) x = 5 + 8 sin ( t ) , y = − 3 + 8 cos ( t )

x = 5 − 8 cos ⁡ ( t ) , y = − 3 − 8 sin ⁡ ( t ) x=5-8\cos(t),y=-3-8\sin(t) x = 5 − 8 cos ( t ) , y = − 3 − 8 sin ( t )

x = − 3 + 8 cos ⁡ ( t ) , y = 5 + 8 sin ⁡ ( t ) x=-3+8\cos(t),y=5+8\sin(t) x = − 3 + 8 cos ( t ) , y = 5 + 8 sin ( t )

Writing Parametric Equations

10. Parametric Equations / Writing Parametric Equations / Problem 1

A circle has its center located at the point $(5, -3)$ and its radius is $8$ . What are the parametric equations that describe this circle?

$x=5+8\sin(t),y=-3+8\cos(t)$

$x=5-8\cos(t),y=-3-8\sin(t)$

$x=5+8\cos(t),y=-3+8\sin(t)$

$x=-3+8\cos(t),y=5+8\sin(t)$