sself6064 sself6064
  • 13-01-2021
  • Mathematics
contestada

Given the circle below what is the length of the radius r to the nearest tenthof an inch? Use 3.14 for rr

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Muscardinus Muscardinus
  • 15-01-2021

Answer:

r = 3.1 inches

Step-by-step explanation:

Given that,

Arc, l = 4 inches

Angle, [tex]\theta=\dfrac{5\pi}{12}[/tex]

We need to find the value of radius r.

We know that, for a circle,

[tex]\dfrac{\text{arc}}{\text{circumferance}}=\dfrac{\theta}{2\pi}\\\\\dfrac{4}{2\pi r}=\dfrac{\dfrac{5\pi}{12}}{2\pi}\\\\r=\dfrac{48}{5\pi}\\\\=3.1\ in[/tex]

S, the radius of the circle is 3.1 inches.

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