Question

what is the length of the arc on a circle with radius 16ft intecepted by a 60 degree angel? round to the hundredth
place pi=3.14

Answer 1

we can write this proportion:
\[\Large 360:\left( {2 \cdot 3.14 \cdot 16} \right) = 60:l\]
where \(l\) is the requested length

Answer 2

ok im following so far

Answer 3

so, if we apply the fundamental property of proportions, we get:
\[\Large l = \frac{{2 \cdot 3.14 \cdot 16}}{{360}} \cdot 60 = ...?\]

Answer 4

224

Answer 5

hint:
\[\Large l = \frac{{2 \cdot 3.14 \cdot 16}}{{360}} \cdot 60 = \frac{{100.48 \cdot 60}}{{360}} = ...?\]

Answer 6

hold on please

Answer 7

ok!

Answer 8

16.746

Answer 9

that's right!

Answer 10

oops.. the rounded value, is:
\[\Large l = 16.75\;ft\]