Question

The length of minute hand of a clock is 7 cm. Find the area swept by the minute hand in one minute is
(a) 3.57 cm^2
(b) 2.57 cm^2
(c) 4.57 cm^2
(d) 5.57 cm^2​

Answer 1

Answer:

answer is b

Step-by-step explanation:

i attached a pin to this question please check it for explanation

Answer 2

$\fbox{Given}$

Length of minute hand of clock = 7 cm.

$\fbox{To find:}$

Area swept by the minute hand in one minute.

$\fbox{Solution}$

b) 2.57 cm^2

The minute hand of a clock describes a circle of radius equal to its length, i.e. 7cm in 1 h. So, the angle described by minute hand in 60 minute = 360°

Therefore, angle described by minute hand in one minute.

= 360°/60°

= 6°

Therefore, required area

${\theta÷360°}$ × πr^2

= 6°/360° × 22/7 × (7)^2

= 1/60 × 22/7 × 7 × 7

= 2.57 cm^2