Question

Find the length of the curve x=4cost, y=4sint, 0<=t<=2pi

Answer 1

8π

Explanation:

The curve is the circle with center (0,0) and radius 4

`x=4*cos(t) \ \Longrightarrow\ x^2=16*cos^2(t)\\y=4*sin(t)\ \Longrightarrow\ y^2=16*sin^2(t)\\\\x^2+y^2=16\\`

Length of the circle=2π/4=8π