Find parametric equations for the following curves. Include an interval for the parameter

Wotzdorfg 2021-08-11 Answered
Find parametric equations for the following curves. Include an interval for the parameter values.
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A circle centered at (-2, -3) with radius 8, generated clockwise
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Expert Answer

Cristiano Sears
Answered 2021-08-12 Author has 96 answers
Given: A circle centered at (-2, -3) with radius 8, generated clockwise. To find: the parametric equation a circle centered at (-2, -3) with radius 8 and generated clockwise. Let h and h be the coordinates of the center of the circle then x and y coordinates in the equation will be: x=h+rcos(t)
y=k+rsin(t)
where x and y are the coordinates of any point on the circle,  r is the radius and  t is the parameter. Therefore, the parametric equations for the circle centered at (h,k)=(-2,-3)with radius,  r=8 is x=2+8cos(t)
y=3+8sin(t)
Here, the circle is generated clockwise, that is, b<0. Therefore, x=2+8cos(t)=x=2+8cos(t)
y=3+8sin(t)=y=38sin(t) Thus, the parametric equation a circle centered at (-2,-3) with radius 8 and generated clockwise is, x=2+8cos(t),0t2π
y=38sin(t),0t2π
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