Question

a groundskeeper needs grass seed to cover a circular field 290 ft in diameter. a store sell 50 lb bags of grass seed. 1 lb of grass seed covers about 400 square feet of field. what is the smallest number of bags the groundskeeper must buy to cover the circular field?

Answer 1

The diameter of circular field is 290ft .

The area of circular field is

`A=\Pi(r^2)^{}`
`A=\Pi(145)^2=66018.5ft^2`

It is given that 1 lb of grass seed covers about 400 square feet of field.

The smallest number of bags he should buy is

`(66018.5)/(400)=165\text{ bags}`