The length of a minute hand of clock is 14cm.Find the area covered by minute hand in 120 minutes on the face of clock
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Answers
the minute hand in 15 min.
Answer
Minute hand completes full circle degree in 60 minutes.
Angle swept by minute in 60 minutes =360°
Angle swept by the minute hand in 15 minutes =
60
360°
×15=90°
Therefore,
θ=90°
Length of minute hand =r=14cm
Area swept by minute hand in 15 minutes = Area of sector
As we know that area of sector is given as-
A=
360°
θ
×πr
2
Therefor,
Area swept by the minute hand in 15 minutes =
360°
90°
×(
7
22
×(14)
2
)=
4
1
×616=154cm
2
Hence the area swept by the minute hand in 15 minutes is 154cm
2
.
Hence the correct answer is 154cm
2
.
Oscillation is a periodic movement of a particle or a system that can cause a wave. A wave is created by an oscillation either mechanically or electromagnetically. An oscillation can occur due to a wave too. An oscillation is a phenomenon that is localized to a certain region whereas a wave is a phenomenon that travels.