Respuesta :

Answer:

3 pi

Step-by-step explanation:

The length of the arc AB is equal to the circumference times the fraction of the circle

AB = 2*pi*r * (degrees/360)

AB = 2 * pi* (27) * (20/360)

    = 54 * pi * (1/18)

    = 3 pi

We are asked to leave the answer in terms of pi

Actually, the answer should be 1/9 π. To convert from degrees to radians, you use the conversion π/180°. This is what you do: 20°/1 times π/180°. This let's you cancel out the degrees so you are left in terms of pi. That gets you 20π/180 which simplifies to 1/9 π or 0.11π if you need it as a rounded decimal.