Question

The length of the minute hand of a clock is 14 cm.find the area swept by the minute hand in 10 minutes

Answer 1

Angle made by hand of clock in 60 min=360°
So, in 10 min..... 360°*10/60=60°
AREA OF SECTOR =22/7*14*14*60°/360°
=102.5 m^2

Answer 2

Given:

length of the minute hand of a clock= 14cm

To Find:

area swept by the minute hand in 10 min

Solution:

length of minute hand = 14 cm

minute = 10   [1 min = 6°]

Angle = 10 × 6

          = 60

Area of the minute hand = πr²(∅/360)

                                         = 3.14×14×14(60/360)

                                         = 615.44× $\frac{1}{6}$

                                         = 102.5733 cm²

Area of minute hand = 102.57cm².