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March 31st, 2015, 06:43 AM   #1
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Converting degrees to radians and finding an area of a sector of a circle

Hi guys,

Ok so 52 degrees in radians is 0.91 (to 2 s.f.) but what does it mean to leave my answer in terms of pi?

And then to use my answer from above to find the area of a sector of a circle of radius 16cm and angle 52 degrees?! Now I'm really out of my depth, lol..

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March 31st, 2015, 06:46 AM   #2
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$180$ degrees is $\pi$ radian, so $52 \mbox{ degrees} = 52 \times \pi/180 \mbox{ radian}$

Area of a sector of radius $r \mbox{ cm}$ and angle $\theta \mbox{ radian}$ is $\theta r^2/2 \mbox{ cm}^2$
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Last edited by CaptainBlack; March 31st, 2015 at 06:50 AM.
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