Respuesta :

Answer:

≈ 36.81 cm ( to 2 dec. places )

Step-by-step explanation:

The perimeter (P) of the sector is calculated as

P = circumference of circle × fraction of circle + radii

  = 2π × 15 × [tex]\frac{26}{360}[/tex] + 30

  = 30π × [tex]\frac{26}{360}[/tex] + 30

  = [tex]\frac{26\pi }{12}[/tex] + 30 ≈ 36.81 cm

Answer:

36.81 cm to the nearest hundredth  (or  30 + 13 π / 6).

Step-by-step explanation:

The perimeter of the circle of which this sector is a part = 2 π 15

= 30 π  cms

So the length of the curved part of the sector = 26 * 30 π  / 360

= 2.167π

The perimeter =  2(15) + 2.167 π

= 36.81 cm.