Find the length of the arc intercepted by an angle of 36° in a circle with radius 12 inches

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asked Feb 7, 2018 155k views

1 Answer

Seli · Answer 1 · 2018-02-11T00:24:20+0000

Set up a pair of proportional ratios...

a/(2πr)=α/360

a=(πrα)/180, we are given that r=12 and α=36° so

a=432π/180 in

a=12π/5 in

a=2.4π in

a≈7.54 in (to nearest one-hundredth of an inch)

Find the length of the arc intercepted by an angle of 36° in a circle with radius 12 inches

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