Question

MEDALS AND FAN
How do i slove this;

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

It looks fine to me

Answer 5

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

24 inches
12 inches
2√3 inches

Answer 6

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

Answer 7

yes

Answer 8

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

Answer 9

i hope i helped :)

Answer 10

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 )