Question

Find the length of arc ED

Answer 1

ED ≈ 2.62 in

Explanation:

The length of the arc ED is calculated as

ED = circumference × fraction of circle

= 2πr ×
`(50)/(360)`

= 2π × 3 ×
`(5)/(36)`

= 6π ×
`(5)/(36)`

=
`(5\pi )/(6)` ≈ 2.62 in ( to 2 dec. places )

Answer 2

ED = 5π/6

Explanation:

First convert angles into radians by using formula 1° = π/180 rad

So, 50° becomes 5π/18.

Now using formula,

angle = length of arc / radius of circle

we get,

5π/18 = length of arc / 3

Hence , length of arc = 5π/6