Find the Length of the Curve $r = a \cos ^ { 2 } \left( \frac { \theta } { 2 } \right) , 0 \leq \theta \leq \pi , a > 0$

question 327

Multiple Choice

Find the length of the curve.
-The curve $r = a \cos ^ { 2 } \left( \frac { \theta } { 2 } \right) , 0 \leq \theta \leq \pi , a > 0$

• A) \(\frac { 3 a ^ { 2 } } { 16 }\)
• B) \(\frac { 3 \pi \mathrm { a } ^ { 2 } } { 16 }\)
• C) \(2 a\)
• D) \(2 \pi a\)

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