Question

In the given figure which is the shape of an equilateral triangle, a buffalo is tethered to a corner of

a field. If the length of the rope by which it is tied is 7 metres, find the area of the field over which

it can graze​

Answer 1

Answer:

Each angle of equilateral triangle = 60

0

Side of an equilateral triangle = 12 m

Length of the rope =7 m

Area of an equilateral triangle =

4

3

(side)

2

=

4

3

×12×12=62.35 m

2

Area of sector with radius 7 m=

360

60

×

7

22

×7×7=25.66 m

2

Now,Area which cannot be grazed by horse = Area of an equilateral triangle - Area of sector with radius 7 m=62.35 m

2

−25.66 m

2

=36.68 m

2