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juanrangel207 juanrangel207
  • 17-08-2016
  • Mathematics
Answered

Find the length of YXZ.

A.s=3

B.s=60

C.s=75

D.s=236

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

Verified Answer :

dalendrk
dalendrk dalendrk
  • 17-08-2016

r = 15

The circumference of circle: \(C=2\pi r\)

subtitute: \(C=2\pi\cdot15=30\pi\)

\(1\ rad=\dfrac{180^o}{\pi}\to5\ rad=5\cdot\dfrac{180^o}{\pi}=\dfrac{900^o}{\pi}\)

\(\dfrac{5\ rad}{360^o}=\dfrac{\frac{900^o}{\pi}}{360^o}=\dfrac{900^o}{\pi}\cdot\dfrac{1}{360^o}=\dfrac{5}{2\pi}\)

\(s=\dfrac{5}{2\pi}C\to s=\dfrac{5}{2\pi}\cdot30\pi=75\)

Answer: C. s = 75

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