Find the length of the arc of a circle of radius 5 inches subtended by the central angle of 220°.

Question

= 2 pi x 5 x 220/360

= 2 x 3.14 x 5 x 220/360

= 31.4 x 0.6111

= 19.18854

The answer is 19.2 inches

My calculation is correct up here??

Answer 1

angle/360 * pi * diameter =

220/360 * pi * 10 <--- radius is 5, so diameter is 10

220/360 * 22/7 * 10/1 <--- pi can be approximated by 22/7

(220 * 22*10)/(360*7) =

48400/2520 =

4840/252 =

2420 /126 =

1210/63 <--- the only factors of 63 are 3*3*7, none of which divides 1210 evenly, so it's reduced

=19.206349206349206349206349206349

which agrees with your calculation because it is the same thing

Answer 2

yes you are correct