Question

Given a circle with center (h,k) and radius r that has parametric equations x = h + r cos a and y = k + r sin a, find a set of parametric equations of a circle with center (-10, 1/2) and radius sqrt(7).

Answer 1

Answer: $x=-10+\sqrt{7}\cos \theta\-,\quad y=0.5+\sqrt{7}\sin \theta$

Step-by-step explanation:

For a circle with center $(h,k)$  and radius $r$

The parametric equation is $x=h+r\cos a$, $y=k+r\sin a$

For center $(-10,\frac{1}{2})$ and radius $\sqrt{7}$

Parametric equation is

$\Rightarrow x=-10+\sqrt{7}\cos \theta\\\Rightarrow y=0.5+\sqrt{7}\sin \theta$