Question

A goat is tethered by a rope 3.5 m long. Find the maximum area that the goat can graze.

2 If the length of the rope is increased to 4.9 m ,how much more area it can graze?

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Answer 1

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The goat will be able to move in a circular manner

Step-by-step explanation:

1_ radius =3.5/2=1.75

then area of a circle is πr²=

=22*1.75*1.75/7=

9.6m²

2- if length is increase to 4.9 m then new radius =2.45

then new area =22*2.45*2.45/7=37.75m

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Answer 2

Step-by-step explanation:

Don't become confused whether the rope tied is taken as diameter or radius. It's the radius only because one end will be tied to the goat and other end to wood or something else, so the goat will stretch it and move in a circular path making the rope as the radius.

1. To graze the maximum area,the goat will move in a circular path.

So area grazed = πr²

=22/7 × 3.5 × 3.5

=22 × 0.5 × 3.5

=38.5 m²

2. If the length of the rope is 4.9 m then the

grazed area = 22/7 × 4.9 × 4.9

= 22 × 0.7 × 4.9

= 79.46 m²

The area covered more = 79.46 - 38.5

= 40.86 m²