The length of the hour hand of a clock is 6cm.find the area of sector swept by this hour hand in90 minutes
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Answer:
Step-by-step explanation : In 1 hour ( 60 minutes), the minute hand rotates 360°. Therefore, the area swept by the minute hand in 40 minutes will be the area of a sector of 240° in a circle of 6 cm radius. Area of sector of angle θ = (θ / 360°)x πr2 . Therefore, the area swept by the minute hand in 40 minutes is 75.42 cm2.
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Step-by-step explanation:
Let the hour hand s length be radius and clock be circle
so
r=6cm
the hand will cover full circle in 60 m
and a semi circle in remaining 30 m
so we have to find
area of circle +area of semi circle
πr^2+(πr^2)/2
(22/7*6*6)+(22/7*6*6)/2
=169.71cm^2
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