Question

If (a,b) is the center and r is the radius of the circle defined by the parametric equations

what is the value of a+b+r ?
x= 10cos 3t, y= 10sin 3t 0≤t≤ 2pi
This is a bonus problem it is extremely difficult

Answer 1

Those particular parametric equations generate a circle with its
center at the origin (0, 0). So ' a ' and ' b ' are both zero.

The (radius of the circle)² is (10² + 10²) = 200

Radius = √200

So (a + b + r) = √200 . ( about 14.1421 )

The significance of the ' 3t ' in the argument of the 'x' and 'y' is just that as
't' goes from zero to 2π , the parametric equations draw the circle 3 times.