The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

Asked by Abhisek | 1 year ago |  80

1 Answer

Solution :-

Length of minute hand = radius of the clock (circle)

Radius (r) of the circle = 14 cm (given)

Angle swept by minute hand in 60 minutes = 360°

So, the angle swept by the minute hand in 5 minutes 

\( 360° × \dfrac{5}{60} = 30°\)

We know,

Area of a sector = \(\dfrac{θ}{360°}× πr^2 \)

Now, area of the sector making an angle of 30° 

\( \dfrac{30°}{360°}×\) πrcm2

= (\( \dfrac{1}{12}\)) × π142

= (\( \dfrac{49}{3}\))×(\( \dfrac{22}{7}\)) cm2

\( \dfrac{154}{3}\) cm2

Answered by Pragya Singh | 1 year ago

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