villanuevasergio682 villanuevasergio682
  • 17-03-2020
  • Mathematics
contestada

The circumference of Fis 120 cm. What is the length of DË (the minor
arc)?

Respuesta :

opudodennis
opudodennis opudodennis
  • 25-03-2020

Answer:

15cm

Step-by-step explanation:

Let x be the arc circumference.

The circumference  of a circle usually subtends to 360°, that is, one complete revolution is 360°.

#Given the arc angle as 45° and the  circumference as 120cm, the arc circumference can be obtained as:

#Apply proportions to find x:

[tex]360\textdegree=120cm\\45\textdegree=x\\\\x=(120/360)\times 45\\\\x=15cm[/tex]

Hence, the arc circumference is 15cm

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