How do I figure this out

Question

I need grass seed to cover a circular Feild 290 feet in diameter

and a store sells 50 Pound bags of grass seed, 1 pound of grass seed covers about 400 square feet of feild

what is the smallest number of bags I need to by to cover the feild

how do I figure this out?

Answer 1

Well, apparently, we need the area of the circular field, which has diameter of 290 feet.

THen the radius us 145 feet.

The area then is A= pi*radius^2 = 22/7 * 145^2 = 66078 and 4/7

Since 1 pound of the grass seed covers 400 square feet, then

66078 and 4/7 divided by 400 = 165.25 = 165 and 1/4 pounds are needed,

rounded to the nearest ounce.

Therefore, 4 x 50 pound bags shall be needed.