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On a circle of radius 10 feet, what angle would subtend an arc of length 1 feet?
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We have this formula : \[l=R\theta \] Where : \[l~:~\text{the length of the arc }\\\theta~:~\text{the angle in radian }\\R~:~\text{the radius } \] So : \[\theta=\frac{l}R=\frac{1}{10}=0.1\text{rd}\] And you can convert it to degrees if you want !
how?
I do not remember learning this
You know that : \[180^\circ =\pi\text{rd}\] So : \[1\text{rd}=\frac{1}{\pi}180^\circ\] So : \[0.1\text{ rd}=0.1\times180^\circ\div\pi\approx 5.73^\circ\]
what is r and what is d?
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rd means radian
oh
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