Question

What is the arc measure of an arc with length 4.189 cm and radius equal to 3 cm.

Answer 1

@jim_thompson5910

Answer 2

What's the circumference of this circle?

Answer 3

i dont know, all the information i have is here. but sadly i have no idea how to solve this

Answer 4

Hint:

C = 2*pi*r

Answer 5

so 18.84?

Answer 6

Yes approximately if you use pi = 3.14

Answer 7

Now we use this formula

s = (t/360)*C

where..

s = arc length
t = central angle
C = circumference of entire circle

Answer 8

Do you see where to go from here?

Answer 9

kinda whats the central angle though
and how would i find it

Answer 10

That's the unknown you're solving for. It turns out that when you say "measure of an arc" you also mean "the measure of the central angle"

Answer 11

s = (t/360)*C

s = (t/360)*18.84 ... plug in the circumference you just found

4.189 = (t/360)*18.84 ... plug in the arc length given

now solve for t

Answer 12

ok that makes since then :)

Answer 13

I'm glad it does