Question

A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter. A store sells 1-pound bags of grass seed. One pound of grass seed covers about 1000 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field?

A. 2
B. 66
C. 264
D. 300

Answer 1

66 bags

Explanation:

The diameter of a circular field, d = 290 feet

Radius, r = 145 feet

We can first find the area of the circular field as follows :

`A=\pi r^2\\\\=3.14* (145)^2\\\\=66018.5\ \text{feet}^2`

One pound of grass seed covers about 1000 square feet of field.

We need to find the smallest number of bags the groundskeeper must buy to cover the circular field. It can be calculated as follows :

`N=3.14*((145)^(2))/(1000)\\\\=66.01`

or

N = 66

So, there are 66 bags required to cover the circular field.