Question

What is the length of arc S shown below?

Answer 1

Answer:

s = 2

Step-by-step explanation:

The length of the arc s is calculated using

s = circumference × fraction of circle

  = 2πr × $\frac{0.4}{2\pi }$ ( cancel 2π )

  = 5 × 0.4 = 2

Answer 2

Answer:

Length of arc S = 2 units

Step-by-step 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 = $2\pi r\times {\frac{0.4}{2\pi } }$  [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.