Question

A rope by which a calf is tied is increased from 12 m to 23 m. How much additional grassy ground shall it graze?​

Answer 1

Answer:

Your Answer

Step-by-step explanation:

When the rope is 12 m, then the radius of the circular region that the calf can graze in is 12 m. The area= πr2=π×(12 m )2=144π square meters.

Changing the length of the rope to 23 m means the area of the circular region of grassy ground that the calf can graze on is

area=πr2=π× ( 23 m) 2=529π meters squared.

How much additional grassy grazing area the calf has when the length of the rope is 23 m is equal to the difference between the area of the larger circle of ground and the area of the smaller circle:

529π m 2 −144π m 2

=385π m 2 ≈1209.51317 square meters.