Question

Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 4 in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.) (a) Once around clockwise, starting at (2, 1). 0 ≤ t ≤ 2π.

Answer 1

Explanation:

Given that a particle moves along the circle

`x^2 + (y − 1)^2 = 4`

This is a circle with centre at (0,1) and radius 2.

Hence parametric form would be

`x =0+2 cost:  and y = 1+2sint`

where
`0 ≤ t ≤ 2π`

and starting point is point to right of origin on x axis i.e. (2,0)