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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).

User Amarilys
by
6.7k points

1 Answer

3 votes

Answer:
x=-10+√(7)\cos \theta\-,\quad y=0.5+√(7)\sin \theta

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,(1)/(2)) and radius
√(7)

Parametric equation is


\Rightarrow x=-10+√(7)\cos \theta\\\Rightarrow y=0.5+√(7)\sin \theta

User Ukim
by
6.5k points
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