breezadelic breezadelic
  • 01-03-2018
  • Mathematics
contestada

The circumference of a circle is 60π cm. What is the length of an arc of 140°? 11.7π cm 16.1π cm 23.3π cm 29.5π cm

Respuesta :

jonathonlassalle jonathonlassalle
  • 11-07-2019

Answer:

c = 23.3

Step-by-step explanation:

Answer Link
wifilethbridge wifilethbridge
  • 31-10-2019

Answer:

[tex]23.3 \pi[/tex] cm

Step-by-step explanation:

Circumference of circle = [tex]2 \pi r[/tex]

The circumference of a circle is 60π cm.

So,  [tex]2 \pi r=60 \pi[/tex]

[tex]2r=60[/tex]

[tex]r=30[/tex]

Formula of length of arc = [tex]2 \pi r \times \frac{\theta}{360}[/tex]

Length of arc = [tex]2 \pi \times 30 \times \frac{140}{360}[/tex]

Length of arc = [tex]23.3 \pi[/tex]

So, Option C is true

Hence Length of arc is [tex]23.3 \pi[/tex] cm

Answer Link

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