## anonymous one year ago MEDALS AND FAN How do i slove this;

1. anonymous

$2\pi =2pi r \left(\begin{matrix}30 \\360\end{matrix}\right)$

2. UsukiDoll

could you provide a screenshot of this? this just looks weird. O_O

3. UsukiDoll

and what are we solving for? for r? for ???

4. aric200

It looks fine to me

5. anonymous

What is the radius of a circle in which a 30° arc is 2pi inches long? 24 inches 12 inches 2√3 inches

6. UsukiDoll

that's a bit better. looking for the radius of the circle..

7. anonymous

yes

8. anonymous

a 30 deg arc is 1/12 of a circle (since there are 360 deg in a circle) thus the circumference of this circle is 12x2 pi = 24 pi the circumference of a circle = 2 pi R, so we know that 2 pi R = 24 pi or R=12

9. anonymous

i hope i helped :)

10. UsukiDoll

oh yeah the circumference formula $C = 2 \pi r$ $\frac{C}{2\pi} = r$ a full circle is 360 degrees and we are given 30 degrees as the arc so $\frac{360}{30} = 12$ so 12 must be r $C = 2 \pi (12) =24 \pi$ so to check that $\frac{24 \pi}{2\pi} = r$ $12=r$ (my explanation is a bit messed up... I haven't done this in years )

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