Question

Find the length of an arc of 40° in a circle with an 8 inch radius.

Answer 1

the length of an arc in a circle is radius x the angle (Ф).

Mind you angle Ф should be in radian.

1st let's convert 40° into radian

40/180 = x/π===> x=(π x 40)/180 ==> x = 2π/9 = 0.698 radian

so the arc length = 0.698 x 8 =5.585

Answer 2

The Answer: 16
`\pi`/9

hope this helped. Have a good day!