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 circular field? Explain or show your reasoning.

Answer 1

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 circular field.

Solution :-

➛ $\sf\large\blue{Diameter \: of \: the \: field \: = 290 \: feet}$

➛ $\sf\large\blue{ Radius \: = 145 \: feet}$

➛ $\sf\large\pink{ Area \: of \: the \: circular \: field \: = {\pi r}^{2} }$

➛ $\sf\large\pink{ \pi \times 145 \times 145 = 66018.5}$

➛$\sf\large\blue{ Number \: of \: bags \: to \: be \: brought \: = \frac{66018.5}{400} = 165 \: bag.}$