Find the length of the curve.
-$x = 3 \cos t , y = 3 \sin t , 0 \leq t \leq \pi$
A) $3 \pi$
B) $9 \pi$
C) $\pi$
D) $6 \pi$

Name: Find the length of the curve. -$x = 3 \cos t , y = 3 \sin t , 0 \leq t \leq \pi$ A) $3 \pi$ B) $9 \pi$ C) $\pi$ D) $6 \pi$
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The curve described by $x = 3 \cos t , y = 3 \sin t$ for $0 \leq t \leq \pi$ is a semicircle with radius 3. The length of a full circle is $2\pi r$, so the length of a semicircle is $\pi r$. Substituting $r = 3$, we get $3\pi$.

Find the Length of the Curve x=3cos⁡t,y=3sin⁡t,0≤t≤πx = 3 \cos t , y = 3 \sin t , 0 \leq t \leq \pix=3cost,y=3sint,0≤t≤π

Find the Length of the Curve $x = 3 \cos t , y = 3 \sin t , 0 \leq t \leq \pi$