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Ashwathy Menon Grade: Upto college level
        

Q.1] The perimeter of a sector of a circle of area 36pie sq.cms is 24cms. Find the area of the sector.


Q.2] The perimeter of a sector of a circle is 4 times the radius of the circle. find the angle of the sector in radians and degrees.


Q.3] A wire 121 cm long is bent so as to lie along the arc of a circle of 180 cm radius. Find in degrees,the angle subtended at the centre of the arc.


Q.4] A horse is tied to a pole by a rope 30 m long. If the horse moves along the circumference of a circle always keeping the rope tight, find how far it would move when the rope has traced an angle of 105 degree ?

7 years ago

Answers : (1)

Ramesh V
70 Points
										

1) perimeter = 2.Pi.r


area = Pi.r2


so , r=6cms


so x.2.Pi.6 / 360 = 24


so sector angle = 229.3 deg


area of sectore = 229.3/360 * 36Pi  = 22.93.Pi


area of sectore = 22.93.Pi


 


2) x.2.Pi.r /360 = 4* r


x = 229.3 deg or 4 radians


3)


x.2.Pi.180 /360 = 121


angle subtended at centre: x = 38.22 deg


4)


105.2.Pi.30 /360 = 54.95 mts


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Regards,

Naga Ramesh

IIT Kgp - 2005 batch


 


 


 

7 years ago
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