PLEASEEEE HELPPPPP I WILL MARK U THE BRAINIEST Find the area swept by a clock’s minute hand in one hour. The length of the minute hand is 10.2 cm. What is the area swept in 30 minutes and 2 hours by the same hand?
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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 15minutes =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 15minutes =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.
mark me brain list please
Minute hand completes full circle degree in 60 minutes.
Angle swept by minute in 60 minutes =360°
Angle swept by the minute hand in 15minutes =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 15minutes =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.
mark me brain list please
Answered by
0
Answer:
πrsq
Step-by-step explanation:
in 1 hr, π x 10.2 x 10.2
in 30 mins, 1/2 x π x 10.2 x 10.2
in 2 he's, 2 x π x 10.2 x 10.2
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