Question

PLEASE PLEASE PLEASE HELP ME. I HAVE BEEN STUCK ON THIS PROBLEM FOR 30 MINUTES OR MORE AND I KEEP GETTING IT WRONG

find the missing information.
arc length 40 cm
radius?
central angle 20 degrees
round to the nearest thousandth

Answer 1

360

Explanation:

You have degrees, so just plug stuff in and cross multiply. This gives you 20π=180*(x radians). (x is what we're solving for.) Solving gives x= π/9 radians.

Now we know θ in terms of radians. We can just plug our numbers in and solve!

40=r(π/9)

Divide by π/9 to get r=360/π cm!