Question

Goat on a Rope

Farmer Smith has a goat named Mel. He hasn’t had time to put up a fence to contain Mel, so he has Mel tied to a rope in his field. The rope is attached to a pole, allowing Mel to wander within a circular area. The rope is 10 feet long. Farmer Smith remembers that the formula for the area of a circle is A = r2 , and that “r” means the radius of the circle. He wants to know how much grass Mel can eat, so he uses 3.14 for , and calculates the area of the circle. How many square feet of grass can Mel reach while still on his rope? (It might help to draw a picture.)

Answer 1

the area of grass is 314 square feet

Explanation:

The radius of the circle the goat can reach is given by the length of the rope that ties the goat to the post (10 ft)

Then the area of the circle is:
`Area=\pi\,R^2=3.14\,(10\,\,ft)^2=3.14 * (100)\,ft^2=314 \,\,ft^2`

So the area of grass is 314 square feet