Question

What is the length of arc S shown below?

Answer 1

s = 2

Explanation:

The length of the arc s is calculated using

s = circumference × fraction of circle

= 2πr ×
`(0.4)/(2\pi )` ( cancel 2π )

= 5 × 0.4 = 2

Answer 2

Length of arc S = 2 units

Explanation:

Circumference of the circle = 2πr

Here r = radius of the circle

Now length of the intercepted arc by the sector will be

S = Length of Circumference ×
`\frac{\text{angle inscribed by the sector}}{2\pi}`

S =
`2\pi r* {(0.4)/(2\pi ) }` [Angle inscribed by the sector is 0.4 radians]

= 0.4r

= 5 × 0.4

= 2.0 units

Therefore, length of arc S is 2 units.