Question

The circumference is 24pie and the measure of arc CD is 60 degrees. What is the length of CD?

Answer 1

Can you solve this?\[ \large
\frac{24 \pi}{360^\circ} = \frac{x}{60^\circ}
\]

Answer 2

one moment...

Answer 3

The angle will be proportional to the arc length. Just thing of the circumference as being the arc length of a \(360^\circ \) arc.

Answer 4

?

Answer 5

I think it should be

\[\frac{ x }{ C } = \frac{ \angle }{ 360 }\]

Answer 6

so
\[\frac{ x }{ 24\pi } = \frac{ 60 }{ 360 }\]

solve for x using that

Answer 7

i don't have a graphing calculator, but: x/24pie=.17

Answer 8

no, wait: would i cross multiply?

Answer 9

x = (60/360) * 24pi = (1/6) * 24pi = 4pi

Answer 10

After multiplying both sides by 24pi

Answer 11

i see, so 4pi is the length of that arc (CD)

Answer 12

RIGHT?

Answer 13

Yeah

Answer 14

THANKS!