A Curve Is Given Parametrically As $x=4 \sin t$ And $y=4 \cos t$

Multiple Choice

A curve is given parametrically as $x=4 \sin t$ and $y=4 \cos t$ for 0 $\le$ t $\le$ 2 $\pi$ .How does the length change if the coefficients of x and y are doubled (meaning x = 8 sin t and y = 8 cos t) ?

A) The length is doubled.
B) The length is halved
C) The length is increased by a factor of 4.
D) The length remains the same.