Q21 of 45 Page 12

The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. (CBSE 2012)

Angle swept by minute hand in 1 hour (60 minutes) = 360°

Angle swept in 1 minute = = 6°


Angle swept in 5 minutes = 6° × 5 = 30°


Area of a sector =


⸫ Area swept in 5 minutes =


= 51.33 cm2

More from this chapter

All 45 →
19

In Figure 7, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

(CBSE 2012)

 20

In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.

(CBSE 2012)

 22

AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O (see Fig. 12.32). If ∠ AOB = 30°, find the area of the shaded region

(CBSE 2013)

 23

In a circle of radius 21cm, an arc subtends an angle of 60° at the centre. Find (i)the length of the arc (ii)area of the sector formed by the arc(CBSE 2013)