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  • 28-03-2015
  • Mathematics
Answered

A clock shows a time of 3:20.what type of angle is this

Verified Answer :

Since3122015
Since3122015 Since3122015
  • 28-03-2015

Hour hand: \(\frac{35\pi}{18}\)

Minute hand: \(\frac{11\pi}{6}*\frac{3}{3}=\frac{33\pi}{18}\)

\(\frac{35\pi}{18}-\frac{33\pi}{18}\\\frac{2\pi}{18}\\\frac{\pi}{9}\)

Acute angle \(<\frac{\pi}{2}\)
Right angle \(=\frac{\pi}{2}\)
Obtuse angle \(>\frac{\pi}{2}\)
Straight angle \(=\pi\)

\(0<\frac{\pi}{9}<\frac{\pi}{2}<\pi\)

Acute angle.

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