Question

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

a) 24 inches
b) 12 inches
c) 2√3 inches

Answer 1

WILL MEDAL

Answer 2

30/360 is 2pi

so the whole circumference is ...

Answer 3

\[12\frac{ 30 }{ 360 } = 360/360 = 12*2\pi = Full ~ Circumference \]

Answer 4

75.36?

Answer 5

That is the circumference - 24pi , you want the radius

C = 2*pi*r

24pi = 2pi*r

Answer 6

So the radius is 4

Answer 7

\[r = \frac{ 24\pi }{ 2\pi }\]

Answer 8

69.08

Answer 9

Oh so the radius is 69.08?

Answer 10

that is not an answer choice... the correct one is there

Answer 11

C)

Answer 12

?

Answer 13

\[r = \frac{ 24\pi }{ 2\pi } = \frac{ 24 }{ 2 } *\frac{ \pi }{ \pi } = \frac{ 24 }{ 2 }*1\]

Answer 14

12?

Answer 15

So it's b)

Answer 16

Thanks so much