The length of the minute hand of a clock is 14 cm. Find the area of the region swept by it between 2.25 PM and 2.40 PM.
Answers
Answered by
2
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
.
Answered by
5
Answer:
refer the attachment...
hope it helps uh...
Step-by-step explanation:
MissInvisible...✌️
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