Question

What is the radius of a circle in which a 30° arc is 2(pi) inches long? Who ever can explain how to do the problem and help me through it will get a medal.

Answer 1

How many degrees in a circle?

Answer 2

360

Answer 3

Yes. Now divide 360 by 30.

Answer 4

12

Answer 5

Yes. now an arc is a segment of the circumference correct?

Answer 6

yes

Answer 7

And if I want to know the circumference I need to know the sum of all the arcs, so 1 arc is
2 (pi) and I have 12 arcs. I need to add 2( pi) 12 times.

Answer 8

24(pi)?

Answer 9

2 (pi) times 12 = C but you don't need to multiply the pi

2 (pi) * 12 = C = Pi * D Solve for D opps you want radius so divide D by 2 sorry

Answer 10

You are ahead of me.

24 pi = C = 2 pi r
24 = 2 r

r = ?

Answer 11

12

Answer 12

thank you for the help

Answer 13

Thanks.

I should have started with drawing and let you figure out most of the question yourself, but I was curious if I could even solved this, so I helped you on the fly.