What is the area of a segment of a circle of radius r subtending an angle θ at the centre?

• A. \(\frac {1}{2} r^2 \theta\)
• B. \(\frac{1}{2}{r^2}\left( {\theta - 2\sin \frac{\theta }{2}\cos \frac{\theta }{2}} \right)\)
• C. \(\frac{1}{2}{r^2}\left( {\theta - \sin \frac{\theta }{2}\cos \frac{\theta }{2}} \right)\)
• D. \(\frac{1}{2}{r^2}\sin \frac{\theta }{2}\cos \frac{\theta }{2}\)