A sector with radius 12 cm has area 132 cm². Find the central angle.

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Accepted Answer

1. Use sector area: $A=\dfrac{	heta}{360}\pi r^2$.  
2. Put $A=132$, $r=12$: $132=\dfrac{	heta}{360}\pi(12)^2=\dfrac{	heta}{360}\cdot144\pi$.  
3. Simplify: $132=\dfrac{2\pi	heta}{5}$, so $	heta=\dfrac{132\cdot5}{2\pi}=\dfrac{330}{\pi}\approx105^\circ$.  
4. Match to choices: **(a) 105°** is correct.  
FINAL_ANSWER: <a>

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