Question

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. What is the smallest number of bags the groundskeeper must buy to cover the field? Explain or show your reasoning.

Answer 1

Answer:

Area of field= πr^2 = 22/7 ×145×145 = 66018.5 sq feet

no of bags he should buy = 66018.5/400 = 165 bags

hope it helps

Answer 2

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 $= \pi r^{2}$

= $\pi \times 145 \times 145$= 66018.5

No of bags to be brought = $\frac{66018.5}{400}$ = 165 bags.