If the length of an arc of measure 80 degrees is 12 Pi inches, what is the length of the radius of the circle

Need help on this. Any help is greatly appreciated.

since arc length = [angle / 360 ] * circumference

12 pi = [ 80 / 360 ] * 2 pi r

6 = [ 2 / 9 ] * r

r = 27 inches ---answer

so you have to remember that the s, the arc length

s = r . ø
where s = arc length
r = radius
ø = angle, which is measured in RADIANS

so let's convert 80 degrees first into radians

we know that 180 degrees = π radian
so 80 degrees = 80/180 x π radian = 4/9π radian

s = r ø
r = s/ ø
r = 12π / (4π/9)
r = 27 inches..

hope that helps :D

♥♦♣♠
Length of an arc, L = ( nº / 360º ) • 2 π r

( 80º / 360º ) • 2 π r = 12 π
( 80º / 360º ) • r = 6
r = 6 • 360 / 80
...= 27 inches
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arc length = radius X Angle (radians)
80=(12pi)r
Do the math