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A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r, of the circle?

A) R=6/14
B) R=14/6
C) 6=14
D) 6*14

Respuesta :

apologiabiology
c=2pir

arclength/circumference=centralangle/2piradians

14/2pir=6/2pi
7/pir=3/pi
times pir both sides
7=3r
divide by 3 both sides
7/3=r

well,
um
the answer is B

The radius of the circle is 14/6 in

Data;

  • length of arc = 14in
  • angle = 6 rads
  • radius = r

Length of an Arc

To calculate the radius of this circle,

[tex]l = r\theta[/tex]

let's substitute the values into the equation.

[tex]l=\theta r\\14 = r * 6\\r = 14/6 in[/tex]

The radius of the circle is 14/6 in

Learn more on length of an arc here;

https://brainly.com/question/2005046