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+√(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`