The area of a circle is 72cm^2. Find the area of a sector of this circle that subtends a central angle of pi/6 rad.

Thanks!

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- Sep 20th 2009, 06:08 AMChinnie15Area of a sector
The area of a circle is 72cm^2. Find the area of a sector of this circle that subtends a central angle of pi/6 rad.

Thanks! - Sep 20th 2009, 06:53 AMe^(i*pi)
- Sep 20th 2009, 07:02 AMGrandad
Hello Chinnie15The whole circle ($\displaystyle 72\,cm^2$) subtends an angle of $\displaystyle 2\pi$ at the centre. The sector you want subtends an angle of $\displaystyle \frac{\pi}{6}$ which is $\displaystyle \frac{1}{12}$ of $\displaystyle 2\pi$. So its area is ...?

Grandad - Sep 20th 2009, 04:57 PMChinnie15
I figured it out, thanks! :)