Find the area swept by hour hand in 28 minutes, if the length of hour hand of click is 12 cm.
Answers
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 =60360°×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×πr2
Therefor,
Area swept by the minute hand in 15 minutes =360°90°×(722×(14)2)=41×616=154cm2
Hence the area swept by the minute hand in 15 minutes is 154cm2.
Hence the correct answer is 154cm2
Answer:
Your answer is 154 cm. I hope it's help you
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Step-by-step explanation:
Angle swept by minute in 60 minutes =360°
Angle swept by the minute hand in 15 minutes =60360°×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×πr2
Therefor,
Area swept by the minute hand in 15 minutes =360°90°×(722×(14)2)=41×616=154cm