juanrangel207 juanrangel207
  • 17-08-2016
  • Mathematics
contestada

Find the length of YXZ.
A.s=3
B.s=60
C.s=75
D.s=236

Find the length of YXZ As3 Bs60 Cs75 Ds236 class=

Respuesta :

dalendrk
dalendrk dalendrk
  • 17-08-2016
r = 15

The circumference of circle: [tex]C=2\pi r[/tex]

subtitute: [tex]C=2\pi\cdot15=30\pi[/tex]

[tex]1\ rad=\dfrac{180^o}{\pi}\to5\ rad=5\cdot\dfrac{180^o}{\pi}=\dfrac{900^o}{\pi}[/tex]

[tex]\dfrac{5\ rad}{360^o}=\dfrac{\frac{900^o}{\pi}}{360^o}=\dfrac{900^o}{\pi}\cdot\dfrac{1}{360^o}=\dfrac{5}{2\pi}[/tex]

[tex]s=\dfrac{5}{2\pi}C\to s=\dfrac{5}{2\pi}\cdot30\pi=75[/tex]

Answer: C. s = 75
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