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

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

Given:
Length of minute hand

r = 14 cm

.
So, to find out the area swept by the minute hand in 5 minutes.
Here,

θ = \frac{5}{60} \times 360

θ = 30 °

The area swept by the minute hand Therefore, area is

= \frac{θ \times π}{360} \times r^{2}

\Rightarrow π r^{2} \times \frac{30}{360} \times 1 4^{2} \times \frac{30}{360}

\Rightarrow \frac{22}{7} \times 1 4^{2} \times \frac{30}{360}

\Rightarrow 51.33 c m^{2}

Therefore, area swept by the minute hand is

51.33 c m^{2}

.
Hence the correct option is 3.

JEE