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

##### 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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