briannasward1 briannasward1
  • 26-02-2019
  • Mathematics
contestada

Find the length of an arc of an 8" radius circle if the arc measures 45°. 2 in. 8 in. 16 in.

Respuesta :

carlosego
carlosego carlosego
  • 26-02-2019

Answer: 2π inches or 6.28 inches

Step-by-step explanation:

 To solve this problem you must apply the formula shown below:

[tex]arclenght=(2r\pi)(C/360)[/tex]

Where r is the radius (r=8 inches) and C is the central angle (45°).

Then, you must subsitute values into the formula.

Therefore, you obtain that the length of the arc is:

[tex]arclenght=(2(8in)\pi)((45/360)[/tex]

[tex]arclenght=2\pi\ in=6.28in[/tex]

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