## IB Maths Arc Length

Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes

### IB Maths Arc Length

IB Mathematics SL– Trigonometry, Mensuration, Arc Length

How can we find the length of an arc with central angle $\frac{\pi}{6}$ in a circle with radius 7 cm?

Thanks
Jane

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Joined: Tue Mar 19, 2013 8:47 pm

### Re: IB Maths Arc Length

IB Maths SL – Trigonometry, Arc Length

Let $\theta$ (in radians) be the central angle in a circle with radius r, then the length $l$ of the arc cut off by $\theta$ is given by the following formula:

$l=r\theta$

Therefore the arc length in our case is

$l=7 \frac{\pi}{6} = \frac{7 \pi}{6} cm$

Hope these help!!
miranda

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Joined: Mon Jan 28, 2013 8:03 pm

### Re: IB Maths Arc Length

Thanks a lot!
Jane

Posts: 0
Joined: Tue Mar 19, 2013 8:47 pm