Question

A cow is tied to a pole with the rope of length 12m.If the cow grazes such that it describes a circle of radius 12 m how far will it have moved when the rope traces an angle of 60 degree at the pole?​

Answer 1

Answer:

154m

2

.

Step-by-step explanation:

Correct option is D

154m

2

Given-ABCD is a rectangular field of dimensions 20m×16m.

A cow tied by a rope BP=BQ=14m at B, is grazing.

Here the cow grazes an area A = Area of Sector with central angle 90

o

 and radius 14m.

∴A=

360

o

θ

​

×π×r

2

 where  θ= Central Angle =90

o

,

and

r= radius of the sector=14m.

∴A=

360

o

90

o

​

×

7

22

​

×14

2

=154m

2

.