Find parametric equations for the following curves. Include an interval for the parameter values. Answers are not unique. A circle centered at (-2, -3) with radius 8, generated clockwise

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Find parametric equations for the following curves. Include an interval for the parameter values.   Answers are not unique.  A circle centered at (-2, -3) with radius 8, generated clockwise

Cristiano Sears · Accepted Answer

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&amp;lt;0. Therefore, x=−2+8cos⁡(−t)=x=−2+8cos⁡(t)  y=−3+8sin⁡(−t)=y=−3−8sin⁡(t) Thus, the parametric equation a circle centered at (-2,-3) with radius 8 and generated clockwise is,              x=−2+8cos⁡(t),0≤t≤2π      y=−3−8sin⁡(t),0≤t≤2π

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

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