Question

A groundskeeper needs grass seed to cover a circular field, 390 feet in diameter. A store sells 50-pound bags of grass seed. One pound 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? Explain or show your reasoning.​

Answer 1

Answer:

The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.

Given:

A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.

A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.

To find:

The smallest number of bags the groundskeeper must buy to cover the field.

Solution:

Diameter of the field = 290 feet, radius = 145 feet

Area of the circular field = \pi r^{2}=πr

2

= \pi \times 145 \times 145π×145×145 = 66018.5

No of bags to be brought = \frac{66018.5}{400}

400

66018.5

= 165 bags.

Step-by-step explanation:

first answer pic

second answer