Q5 of 31 Page 181

The length of the minute hand of a clock is 10.5 cm. Find area of the sector formed by the minute hand in 10 minutes.

Let us consider clock as a circle with radius 10.5 cm.


Also, the 60 minutes of the clock constitute the 360° angle of the circle.


So, the angle formed by the minute hand in 10 minutes


We know that the area of the minor sector


⇒ Area of the minor sector


⇒ Area of the minor sector = 57.75cm2


More from this chapter

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3

The length of an arc of a circle of radius 7 cm is 12 cm. Find the area of the minor sector.

 4

In a circle of radius 21 cm, 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.


(iii) Area of the segment formed by the corresponding chord.

 6

A chord of a circle of radius 3.5 cm subtends an angle of 90° at the centre. Find the area of the minor segment of the circle.

7

Find the area of a quadrant of a circle whose circumference is 22 cm.